Triangle ABC is isosceles with AB=BC. If angle B is twice the measure of angle A, then find all the angles of the triangle

Asked by nandinigoswami80 | 22nd Nov, 2018, 07:11: PM

Expert Answer:

According to the question,
AB = BC
angle A = angle C
Let angle A = angle C = x
Given that 
angle B = 2 angle A = 2x
Angle sum property of a triangle 
x + x + 2x = 180°
4x = 180°
x = 45°
angle A = angle C = x = 45°
angle B = 2 × 45° = 90°

Answered by Sneha shidid | 23rd Nov, 2018, 09:51: AM