In an isolceles triangle if the vertex is twice the sum of the base angles . calculate the angle of the triangle
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90 ∘
Explanation:
Since the sum of the interior angles of any triangle adds up to
180 ∘ and also the base angles of an isosceles triangle are equal,we may let the base angles be x , then the vertex angle is 2 x .
∴ x + x + 2 x = 180 ∘ .
∴ x = 45 ∘ . Therefore the vertex angle is 90 ∘ .
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