Question

In the figure, PT and QR are equal and parallel and the three sides PQ = ST = RS. If angle Pis 102°, find PTR and QRS. ​

Answer 1

Answer:

PT||OR therefore,angle P=angle R

angle R=102°

angle R + angle T = 180°(adjacent angle)

102°+ angle T = 180°

angle T = 180°-102°

= 78°

Answer 2

Step-by-step explanation:

Exteror Angle ∠TPR or ∠P = 102°

Let us consume the opposite interior angles be = X

∠PTR = x and ∠QRS = x

By exterior angle axiom:

Sum of Opposite Interior angles = Exterior angle

⇒ ∠PTR + ∠QRS = 102°

⇒ X + X = 102°

⇒2x = 102°

⇒ X = 102/2

⇒ X = 51°

Hence,

∠PTR = 51°

∠QRS = 51°