Question

if pqrs is a parallelogram, then find the angle P,Q,Rand S


plz answer it​

Answer 1

all the angles are 90

Step-by-step explanation:

because all the angles are right angles

Answer 2

In triangle PSR:

angle P + angle S + angle R = 180° (Angle sum property of triangle)

3a+5a+2a = 180°

10a = 180°

a = 180°÷10

a = 18°

so,

we get value of a = 18°

3a = 3×18 = 54°

5a = 5×18 = 90°

2a = 2×18 = 36°

In triangle PQR:

angle Q = 90° ( Opposite angles of parallelogram are equal )

angle PRQ = 54° ( Alternate interior angles )

angle RPQ = 36° (Alternate interior angles )

so,

angle R = 36°+ 54°= 90°

angle P = 54°+ 36°= 90°

So , the angles are :

angle P=90°

angle Q=90°

angle R=90°

angle S=90°

I hope it helps you !!