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In an isosceles triangle the vertex angle is half the base angle​

Answer» <html><body><p><strong>Answer:</strong></p><p><a href="https://interviewquestions.tuteehub.com/tag/vertex-1444928" style="font-weight:bold;" target="_blank" title="Click to know more about VERTEX">VERTEX</a> angle = 36⁰</p><p><a href="https://interviewquestions.tuteehub.com/tag/base-892693" style="font-weight:bold;" target="_blank" title="Click to know more about BASE">BASE</a> angle = 72⁰</p><p><strong>Step-by-step explanation:</strong></p><p>let vertex angle be <a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a></p><p>let base angle be y</p><p>we know both base angles are equal since it is an isosceles triangle </p><p>atq </p><p>x = 2y --- (<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)</p><p>also,</p><p>x+ x+ y= 180⁰</p><p>2x + y = 180⁰</p><p>4y + y = 180⁰ --- (from (1))</p><p>y = 180⁰/5</p><p>y = 36⁰</p><p><strong>so vertex angle = 36⁰</strong></p><p>x = 2y </p><p><strong>so base angle = 72⁰</strong></p><p></p><p><strong>kindly</strong><strong> </strong><strong>mark</strong><strong> </strong><strong>as</strong><strong> </strong><strong><a href="https://interviewquestions.tuteehub.com/tag/brainliest-1995348" style="font-weight:bold;" target="_blank" title="Click to know more about BRAINLIEST">BRAINLIEST</a></strong><strong> </strong></p></body></html>


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