Mathematics
Grade9
Easy

Question

These triangles are congruent. If angle straight E text  is  end text 45 degree text  and  end text angle straight B text  is  end text 55 degree text ,  end text angle straight C is

  1. 45°
  2. 55°
  3. 80°
  4. 100°

hintHint:

In the given question, we have to find angleC which belongs to both the triangles so we can chose any of the triangle for the calculation. For increment D C E,  angle E is given and to find angle D , it is given that the two triangles are congruent so angle D equals angle B equals 55 degree. Now as we have two angles of the triangle we can easily find the third side by the theorem the sum of three sides of the triangle is 180degree.

The correct answer is: 80°


    G i v e n space comma space increment A B C approximately equal to increment E D C
S o comma space angle D equals angle B equals 55 degree
N o w space comma space I n space increment E D C
space angle E plus angle D plus angle C space equals 180 degree left parenthesis s u m space o f space a l l space i n t space a n g l e s space o f space a space t r i a n g l e right parenthesis
45 degree plus 55 degree plus angle C space equals 180 degree
100 degree plus angle C equals 180 degree
angle C equals 180 degree minus 100 degree
space space space space space space space space equals 80 degree

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