. In triangle ABC, AB = AC. If angle A = 50°, then find angle B and angle C.
Question
. In triangle ABC, AB = AC. If angle A = 50°, then find angle B and angle C.
Solution
In a triangle, the sum of all angles is 180°.
Given that triangle ABC is isosceles (AB = AC), the base angles of an isosceles triangle are always equal. Therefore, angle B = angle C.
We know that angle A = 50°.
So, the sum of angle B and angle C is 180° - 50° = 130°.
Since angle B = angle C, each of these angles is 130°/2 = 65°.
So, angle B = angle C = 65°.
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