Maths-
General
Easy

Question

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

  1. 90°    
  2. 30°    
  3. 45°    
  4. 25°    

Hint:

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 the figure and we have to find the value of angle b+c.

The correct answer is: 90°


    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 "∠".

    Here we have given the stack left floor a with _ below equals left floor b and left floor c equals left floor d comma we know that:
    angle a equals angle b
angle c equals angle d
N o w comma space a space l i n e space i s space o f space 180 degree comma space s o colon
angle a plus angle b plus angle c plus angle d equals 180 degree
P u t t i n g space angle a equals angle b space a n d space angle d equals angle c comma space w e space g e t colon
angle b plus angle b plus angle c plus angle c equals 180 degree
S i m p l i f y i n g space t h i s comma space w e space g e t colon
2 angle b plus 2 angle c equals 180 degree
2 left parenthesis angle b plus angle c right parenthesis equals 180 degree
left parenthesis angle b plus angle c right parenthesis equals fraction numerator 180 degree over denominator 2 end fraction
left parenthesis angle b plus angle c right parenthesis equals 90 degree

    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.

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