Question

In a right angled triangle ABC, A = 90° and AB=AC, then find ZB and 2C.​

Answer 1

Step-by-step explanation:

Given,

∠A = 90° and AB = AC

A/q,

AB = AC

⇒ ∠ZB = ∠2C (Angles opposite to the equal sides are equal.)

Now,

∠A + ∠ZB + ∠2C = 180° (Sum of the interior angles of the triangle.)

⇒ 90° + 2∠ZB = 180°

⇒ 2∠ZB = 90°

⇒ ∠ZB = 45°

Thus, ∠ZB = ∠2C = 45°