In an isosceles triangle, the base angles are equal. The vertex angle is twice of the base angle .from an equation for the sum of all .(take base angle p)
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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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As we already know that the base angles in an isosceles triangle are equal. Now, let us assume the base angle of the isosceles triangle as b. Now, from the condition that the sum of angles in a triangle is 180∘. Hence, the base angle of the given isosceles triangle is 45∘ and the vertex angle is 90∘.
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