Question

find the value of x and y in the given isoceles right angle triangle​

Answer 1

SoluTion :-

Given :-

∠ B = 90°

∠ A or ∠ x = ∠ C (Isosceles Triangle)

$\rule {200}{2}$

Using Sum of angles of triangle property :-

∠ B + ∠ A or ∠ x + ∠ C = 180°

Where ∠ A or ∠ x = ∠ C

90° + x + x = 180°

2x = 180° -  90°

2x =  90°

x = 45°

$\rule {200}{2}$

Using Exterior angle property :-

∠ y = ∠ A + ∠ B

∠ y = 45° + 90°

∠ y = 135°