Question

In the given figure, side QR of a ΔPQR has been produced to the point S. If ∠PRS = 115° and ∠P = 45°, then ∠Q is equal to _________. (i) 70° (ii) 105° (iii) 51° (iv) 80°

Answer 1

Answer:

∠Q=70⁰

Step-by-step explanation:

∠SPQ=∠PRQ+∠PRS (LINEAR PAIR)

180=∠PRQ+115

∠PRQ=180-115

∠PRQ=65⁰

ΔPQR=∠PRQ+∠Q+∠P    (ANGLE SUM PROPERTY)

180=65+∠Q+45

∠Q=180-(65+45)

∠Q=110°

Answer 2

Answer:

angle Q is equal to 110 degree