In the figure given below, AB=AC and if angle B is twice of angle A, then determine all three angles of the triangle?
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So this is the whole solution
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Since AB = AC
angle B = angle C (angles opposite to equal sides are equal)
B = 2A (Given)
angle A = B/2
B + C + A = 180 (angle sum property of ∆)
B + B + B/2 = 180
2B + B/2 = 180
(4B + B)/2 = 180
5B = 360
angle B = 360/5 = 72
angle B = 72
angle C = 72
angle A = 72/2 = 36
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