Maths-
General
Easy

Question

If PQRS is a Square and STR is an Equilateral Triangle, find the value of a

  1. 60°    
  2. 45°    
  3. 90°    
  4. 75°    

hintHint:

try to find other angle than a in triangle SNR

The correct answer is: 45°


    a=900
    Q S space i s space t h e space d i a g o n a l s space o f space s q u a r e space P Q R
w e space k n o w space t h a t space d i a g o n a l space b i o s e c t s space a n g l e s space o f space s q u a r e space
s o space angle N S R space equals 45 degree
sin c e space triangle S T R space i s space e q u i l a t e r a l space
t h e r e f o r e space angle T R S space equals 60 degree
n o w space i n space triangle N S R
angle N S R space plus space angle S N R space plus angle R S N space equals 180 degree
45 degree plus a plus 60 degree equals 180 degree
a equals 75 degree

    diagonal bisects the angles in square

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