Mathematics
Grade9
Easy

Question

If ∆ ABC ≅ ∆ PQR, then the value of ∠A will be, 

  1. 25° 
  2. 60°
  3. 55°
  4. 90°

hintHint:

This question is in reference from chapter triangles.

The correct answer is: 60°


    G i v e n comma
triangle A B C space approximately equal to space triangle P Q R
angle Q space equals space 30 degree
angle R space equals space 90 degree

I n space t h i s comma
triangle A B C space approximately equal to space triangle P Q R comma space t h e n space angle A space equals space angle P

W e space k n o w space t h a t space t h e space s u m space o f space a l l space t h e space a n g l e s space o f space a space t r i a n g l e space i s space 180 degree.
therefore space I n space triangle P Q R comma
angle P space plus space angle Q space plus space angle R space equals space 180 degree
angle P space plus space 30 degree space plus space 90 degree space equals space 180 degree
angle P space equals space 180 degree space minus space 120 degree
angle P space equals space 60 degree

H e n c e comma space angle A space equals space angle P space equals space 60 degree
space

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