Maths-
General
Easy

Question

In the figure A equals 30 to the power of ring operator end exponent & E B equals 50 to the power of ring operator end exponent then ACD=

  1. 80°    
  2. 100°    
  3. 180°    
  4. 60°    

hintHint:

The fundamental geometric shapes are lines and angles. Infinite points that stretch infinity in both directions make up lines, which are geometric objects. Straight lines with little depth or width are present. Here we have given a figure and we have to find the value of angle ACD.

The correct answer is: 80°


    A line is a simple, one-dimensional shape that can go on forever in opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.
    When the ends of two rays collide at a single location, an angle is a geometry that results. They are expressed as radians or degrees (°). A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠".
    If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.

    Here we have given the angles A= 30, B = 50.
    N o w space w e space h a v e colon space
angle A C D equals angle A plus angle B space left parenthesis e x t e r i o r space a n g l e space p r o p e r t y right parenthesis
P u t t i n g space t h e space v a l u e s space i n space i t comma space w e space g e t colon
angle A C D equals 30 plus 50
angle A C D equals 80 degree

    Here we used the concept of linear pair and exterior angle property. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle BCD is 110 degrees.

    Related Questions to study

    General
    Maths-

    open parentheses sin to the power of 8 space 75 to the power of ring operator minus cos to the power of 8 space 75 to the power of ring operator close parentheses =

    open parentheses sin to the power of 8 space 75 to the power of ring operator minus cos to the power of 8 space 75 to the power of ring operator close parentheses =

    Maths-General
    General
    Maths-

    If tan space alpha equals fraction numerator 1 over denominator square root of x open parentheses x squared plus x plus 1 close parentheses end root end fraction comma tan space beta equals fraction numerator square root of x over denominator square root of x squared plus x plus 1 end root end fraction and tan space gamma equals square root of x to the power of negative 3 end exponent plus x to the power of negative 2 end exponent plus x to the power of negative 1 end exponent end root then alpha plus beta =

    If tan space alpha equals fraction numerator 1 over denominator square root of x open parentheses x squared plus x plus 1 close parentheses end root end fraction comma tan space beta equals fraction numerator square root of x over denominator square root of x squared plus x plus 1 end root end fraction and tan space gamma equals square root of x to the power of negative 3 end exponent plus x to the power of negative 2 end exponent plus x to the power of negative 1 end exponent end root then alpha plus beta =

    Maths-General
    General
    Maths-

    If tan space left parenthesis pi cos space theta right parenthesis equals cot space left parenthesis pi sin space theta right parenthesis comma 0 less than theta less than fraction numerator 3 pi over denominator 4 end fraction then sin space open parentheses theta plus pi over 4 close parentheses equals

    If tan space left parenthesis pi cos space theta right parenthesis equals cot space left parenthesis pi sin space theta right parenthesis comma 0 less than theta less than fraction numerator 3 pi over denominator 4 end fraction then sin space open parentheses theta plus pi over 4 close parentheses equals

    Maths-General
    parallel
    General
    Maths-

    The minimum value m space equals bold space 2 cos space theta plus fraction numerator 1 over denominator sin invisible function application theta end fraction plus square root of 2 tan space theta space text  in  end text open parentheses 0 comma pi over 2 close parentheses is

    The minimum value m space equals bold space 2 cos space theta plus fraction numerator 1 over denominator sin invisible function application theta end fraction plus square root of 2 tan space theta space text  in  end text open parentheses 0 comma pi over 2 close parentheses is

    Maths-General
    General
    Maths-

    In the adjoining figure, stack left floor a with _ below equals left floor b and left floor c equals left floor d comma then left floor b plus left floor c equals

    Here we used the concept of linear pair. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle b+c is 90 degrees.

    In the adjoining figure, stack left floor a with _ below equals left floor b and left floor c equals left floor d comma then left floor b plus left floor c equals

    Maths-General

    Here we used the concept of linear pair. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle b+c is 90 degrees.

    General
    Maths-

    In the figure, a equals 4 x to the power of ring operator end exponent and b equals left parenthesis 2.5 x plus 24 right parenthesis to the power of ring operator end exponent comma then the value of x =

    Here we used the concept of angles on same side of transversal.  When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the value of x is 16.

    In the figure, a equals 4 x to the power of ring operator end exponent and b equals left parenthesis 2.5 x plus 24 right parenthesis to the power of ring operator end exponent comma then the value of x =

    Maths-General

    Here we used the concept of angles on same side of transversal.  When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the value of x is 16.

    parallel
    General
    Maths-

    In the following figure, the value of x =

    Here we used the concept of linear pair and exterior angle property. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle BCD is 110 degrees.

    In the following figure, the value of x =

    Maths-General

    Here we used the concept of linear pair and exterior angle property. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle BCD is 110 degrees.

    General
    Maths-

    Using information given in the following figure, the value of x and y is

    Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angles are 65°and 110°.

    Using information given in the following figure, the value of x and y is

    Maths-General

    Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angles are 65°and 110°.

    General
    Maths-

    In figure, the sides QP and RQ of triangle P Q R are produced to points S and T respectively. If stack S P R with _ below equals 135 to the power of ring operator end exponent and open floor P Q T equals 110 to the power of ring operator end exponent close then stack P R Q with _ below equals

    Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle PRQ is 65 degrees.

    In figure, the sides QP and RQ of triangle P Q R are produced to points S and T respectively. If stack S P R with _ below equals 135 to the power of ring operator end exponent and open floor P Q T equals 110 to the power of ring operator end exponent close then stack P R Q with _ below equals

    Maths-General

    Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle PRQ is 65 degrees.

    parallel
    General
    Maths-

    In the given figure, if P Q R equals 70 to the power of ring operator end exponent then ∣ A B C equals

    In the given figure, if P Q R equals 70 to the power of ring operator end exponent then ∣ A B C equals

    Maths-General
    General
    Maths-

    From the given figure, the value of ‘a’ is

    From the given figure, the value of ‘a’ is

    Maths-General
    General
    Maths-

    In the following figure, AB is parallel to CD , then the value of x in degrees is

    In the following figure, AB is parallel to CD , then the value of x in degrees is

    Maths-General
    parallel
    General
    Maths-

    In the given figure, l parallel to m then the value of x =

    In the given figure, l parallel to m then the value of x =

    Maths-General
    General
    Maths-

    In the given figure, stack A B with bar on top is parallel to CD, then x =

    In the given figure, stack A B with bar on top is parallel to CD, then x =

    Maths-General
    General
    Maths-

    In the figure, AB is parallel to CD , then x =

    In the figure, AB is parallel to CD , then x =

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.