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Find the measures of each exterior angle of rectangular polygon with 15 sides.​

Answer» <html><body><h3>Solution :-</h3><p></p><p><strong><u>Given</u></strong><strong><u>:</u></strong></p><ul><li>The polygon has 15 sides</li></ul><p></p><p><strong><u>To </u></strong><strong><u>find</u></strong><strong><u>:</u></strong></p><p>Measure of each exterior angle = ?</p><p></p><p><strong><u>Solution</u></strong><strong><u>:</u></strong></p><p>We know that:</p><p>The <a href="https://interviewquestions.tuteehub.com/tag/sum-1234400" style="font-weight:bold;" target="_blank" title="Click to know more about SUM">SUM</a> of all exterior angles of a regular polygon is <a href="https://interviewquestions.tuteehub.com/tag/360-309472" style="font-weight:bold;" target="_blank" title="Click to know more about 360">360</a>°</p><p></p><p>Since the polygon has 15 sides the measure of exterior angle for <strong>each</strong> side is to be found out.</p><p></p><p>For this <a href="https://interviewquestions.tuteehub.com/tag/let-11597" style="font-weight:bold;" target="_blank" title="Click to know more about LET">LET</a>'s apply the concept of ratio and proportion.</p><ul><li>15 sides → 360°</li><li>1 side → ?</li></ul><p></p><p>This can <a href="https://interviewquestions.tuteehub.com/tag/also-373387" style="font-weight:bold;" target="_blank" title="Click to know more about ALSO">ALSO</a> be <a href="https://interviewquestions.tuteehub.com/tag/written-732709" style="font-weight:bold;" target="_blank" title="Click to know more about WRITTEN">WRITTEN</a> as:</p><p> <strong>15 : 360 :: 1 : x</strong></p><p>⇒ 15x = 360</p><p>⇒ x = 360 ÷ 15</p><p>⇒ x = 24°</p><p></p><p><strong>∴ Measure of each exterior angle = <u>24°</u></strong></p></body></html>


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