The value of angle x and y is (a) 23°, 67° (b) 51.5°, 29.5° (c) 50°, 30° (d) 67.5°, 22.5°

Question

In the figure PQRS is a square with OR = TR

SR = (7t – 6) cm and PS = (2t + 9) cm.

The value of angle x and y is

(a) 23°, 67° (b) 51.5°, 29.5° (c) 50°, 30° (d) 67.5°, 22.5°

Answer 1

(d) In ΔTOR, <OTS = <ROT = x

<ORT = 45°

x + x + 45° = 180°

x= 135/2= 67.5°

y = 90 – x = 22.5°