Question

2. Find angles x and y in figure:
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Answer 1

Answer:

I hope this may help....... and just remember it's a right angled isosceles triangle, thus the opposite sides are equal -thanks-

Answer 2

<1 + y = 180° eq(1). (linear pair of angles)

<1 = x eq(2). (opposite angles of equal sides of a triangle)

by eq(1) and (2)

x + y = 180° eq(3)

In ∆PQR,

x + <1 + 90° = 180°. (angle sum property of ∆)

x + x = 90°

2x = 90°

x = 45°

and, x + y = 180°

45° + y = 180°

y = 180° - 45°

y = 135°

so, x = 45°

y = 135°

(kindly refer to attachment also)