Question

find x and y i will mark you brainliest​

Answer 1

Given: Figure

To find: Value of angle x and y

Solution:

In the given triangle, it is given that AB = CB. This implies that ∆ABC is an isosceles triangle. We know that in an isosceles triangle, two angles are of equal measure. So we get:

• ∠ACB = ∠BAC = y

Apply angle sum property in ∆ABC

=> ∠ACB + ∠ABC + ∠BAC = 180°

=> y + 90° + y = 180°

=> 2y = 180° - 90°

=> y = 90°/2

=> y = 45°

Consider line segment BAD

=> x + ∠BAC = 180° (Linear pair)

=> x + y = 180°

=> x + 45° = 180°

=> x = 180° - 45°

=> x = 135°

Required answer:

• x = 45°
• y = 135°