In an isosceles triangle, the vertex angle is twice of each of the equal base angles. Set up
an equation to find vertex angle of the triangle.
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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 2x . ∴x+x+2x=180∘ . ∴x=45∘
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