Question

ABC is a right angled triangle in which ∠A = 90º and AB = AC. Find ∠B and ∠C.

Answer 1

Answer:

Step-by-step explanation:

AB = AC

Hence, Angle b= angle c (When opposite sides are equal, the opposite angles are also equal)

Angle B= Angle C= x

Therefore, angle x + angle x + 90 degrees = 180 (Angle sum property)

hence, 2x + 90 = 180

x= 45

Answer 2

Answer:

∠B = 45

∠C = 45º

Explanation:

Given :

• ∠A = 90º

• AB = AC
• ∠C = ∠B (Angles opposite to equal sides are also equal)

To Find :

• ∠B and ∠C.

Solution :

∠A + ∠B + ∠C = 180º (Angle sum property of a triangle)

⇒ 90º + ∠B + ∠C = 180º

⇒ 90º + ∠B + ∠B = 180º

⇒ 2 ∠B = 90º

⇒ ∠B = 45º

∴ ∠B = ∠C = 45º

(Figure in attachment)