Maths-
General
Easy

Question

If AB=AC and A C D equals 115 to the power of ring operator end exponent then stack B with _ below A C equals

  1. 60°    
  2. 50°    
  3. 65°    
  4. 115°    

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  AB=AC and A C D equals 115 to the power of ring operator end exponent, we have to find angle ACD.

The correct answer is: 50°


    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 AB=AC and A C D equals 115 to the power of ring operator end exponent.
    N o w space w e space h a v e colon space
angle A C D plus angle A C B equals 180 degree space left parenthesis l i n e a r space p a i r right parenthesis
115 degree plus angle A C B equals 180 degree
angle A C B equals 180 degree minus 115 degree
angle A C B equals 65 degree
N o w space w e space h a v e space A B equals A C comma space s o colon
angle A C B equals angle A B C equals 65 degree space left parenthesis i s o s c e l e s space t r i a n g l e space p r o p e r t y right parenthesis
N o w space w e space k n o w space t h e space a n g l e space s u m space p r o p e r t y space o f space a space t r i a n g l e i s space 180 degree comma space s o colon
angle A plus angle B plus angle C equals 180 degree
angle A equals 180 degree minus 65 degree minus 65 degree
angle A equals 50 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 A is 50 degree.

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