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Question for branily star​

Answer» <html><body><p>-step explanation:Given :The ratio of angles of a quadrilateral are in the ratio 3:5:9:13.To find :All the angles of the quadrilateral.Solution :Let the angles of the quadrilateral be:3x5x9x13xThen we <a href="https://interviewquestions.tuteehub.com/tag/know-534065" style="font-weight:bold;" target="_blank" title="Click to know more about KNOW">KNOW</a>, in a quadrilateral sum of interior angles is <a href="https://interviewquestions.tuteehub.com/tag/equal-446400" style="font-weight:bold;" target="_blank" title="Click to know more about EQUAL">EQUAL</a> to 360°.That is:⇒ 3x + <a href="https://interviewquestions.tuteehub.com/tag/5x-326794" style="font-weight:bold;" target="_blank" title="Click to know more about 5X">5X</a> + <a href="https://interviewquestions.tuteehub.com/tag/9x-343312" style="font-weight:bold;" target="_blank" title="Click to know more about 9X">9X</a> + <a href="https://interviewquestions.tuteehub.com/tag/13x-1786551" style="font-weight:bold;" target="_blank" title="Click to know more about 13X">13X</a> = 360°⇒ 30x = 360°⇒ x = 360°/30⇒ x = 12°Hence, the angles are:⇒ 3x = 36°⇒ 5x = 60°⇒ 9x = 108°⇒ 13x = 156°Verification :3x + 5x + 9x + 13x = 360°36° + 60° + 108° + 156° = 360°96° + 264° = 360°360° = 360°∴ L.H.S = R.H.S...ッ</p></body></html>


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