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1. In an isosceles triande the base anges are equal and the vertex angle is twice of each base angle. find measure of the angles.
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Since the sum of the interior angles of any triangle adds upto 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°
=>4x=180°
=>x=180/4
=>x=45°
Vertex angle=2x=2×45=90°
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