Question

9. In the given figure, triangle AQR is an equilateral triangle in a square PQRS. If QY || RA and QA || RX, then the value of (n - m) is R um B n Y A S Р (1) 75° (3) 85° (2) 80° (4) 90°​

Answer 1

Answer:

Correct option is

QRST is a square Let side = a.

PQPR QR = = a

ZP RQ = 60°(AP QR is equilateral)

In APRS

PR PS

ZP SR ZSPR (angle opp. to equal sides are also equal)

= X

ZP RS = 60 +90 = 150° x + x + 150 = 180 ( sum of angle of AP RS)

2x = 30°

x = 15°