In an isosceles triangle if the unequal angle is twice the sum of the equal angles then each equal a...........

Quantitative Aptitude ( CCS) Geometry

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In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is

120°

60°

30°

90°

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Explanation:

Let, the equal angles are B and C, and unequal angle is A.
∴ ∠B = ∠C
∴ ∠A = 2(∠B + ∠C) = 2(∠C + ∠C) = 4∠C
We know that,
∠A + ∠B + ∠C = 180°
4∠C + ∠C + ∠C = 180°
6∠C = 180°
∠C = 30°
∴ Each equal angle is 30°.