Question

Find the value of x and y in the following figure

Answer 1

heya mate here is your answer

A.T.Q.

in ∆ABC, angle B = 90°

and AB= BC

so angle BCA equal to angle BAC= y°

y + y + 90° = 180 (according to angle sum property of a triangle)

2y = 180 - 90 = 90°

=> y = 90/2 = 45°

now, ANGLE BAC + ANGLE DAC = 180°
(LINEAR PAIR)

so, 45° + angle DAC = 180°

=> angle DAC = 180 - 45° = 135°

hope this helps you