Question

triangle PQR is a right angled triangle where angle QPR is equal to 90.PA is drawn perpendicular to the hypotenuse QR.if angle QPA=15°,then angle PRQ is equal to​

Answer 1

Answer:

15

Step-by-step explanation:

Given, ∠QPR = 90° = ∠PAQ = ∠PAR

And , ∠QAP = 15°

∠QPR = 90°

But ∠QPR = ∠QPA + ∠RPA

⇒ 15 +∠RPA = 90

⇒ ∠RPA = 90 - 15 = 75°

Consider ΔRPA

Angle sum property = 180

⇒ ∠PRQ + 75 + 90 = 180

⇒ ∠PRQ = 180 - 165 = 15°