Question

The measure of ∠PRQ in the given figure ​

Answer 1

Answer:

65° IS THE MEASURE OF ∠PRQ

Step-by-step explanation:

∠TQP + ∠PQR = 180°

110° + ∠PQR = 180

∠PQR = 70°

∠PQR +∠QRP = ∠RPS    [EXTERIOR ANGLE]

70° + ∠QRP = 135°

∠QRP = 65°

Answer 2

Answer:

65°

Step-by-step explanation:

/_RPS+/_RPQ=180°. (linear pair)

135°+/_RPQ=180°. (/_RPS=135°)

/_RPQ=45°

NOW, /_RPQ+/_PRQ=/_PQT. (Sum of interior opposite angles= exterior angle)

Therefore, /_PRQ=65°(ANS)