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Answer» <html><body><p>-<a href="https://interviewquestions.tuteehub.com/tag/step-25533" style="font-weight:bold;" target="_blank" title="Click to know more about STEP">STEP</a> explanation:❍ Given : Ratio of the <a href="https://interviewquestions.tuteehub.com/tag/angles-378243" style="font-weight:bold;" target="_blank" title="Click to know more about ANGLES">ANGLES</a> of a quadrilateral is 3:5:<a href="https://interviewquestions.tuteehub.com/tag/9-340408" style="font-weight:bold;" target="_blank" title="Click to know more about 9">9</a>:13 ❍ To <a href="https://interviewquestions.tuteehub.com/tag/find-11616" style="font-weight:bold;" target="_blank" title="Click to know more about FIND">FIND</a> : Angles of the quadrilateral ❍ Solution : ★ Let the angles be 3x, 5x, 9x and 13x. Sum of all the angles of a quadrilateral is 360°. ➠ 3x + 5x + 9x + 13x = 360° ➠ 30x = 360° ➠ x = 360/30➠ x = 12 Value of x is 12. ❒ The angles are : ◘ 3x = 3 × 12 = 36° ◘ 5x = 5 × 12 = 60° ◘ 9x = 9 × 12 = 108° ◘ 13x = 13 × 12 = 156° ∴ The angles of a quadrilateral are 36°, 60°, 108° and 156°. ❍ <a href="https://interviewquestions.tuteehub.com/tag/verification-22764" style="font-weight:bold;" target="_blank" title="Click to know more about VERIFICATION">VERIFICATION</a> : ⇛ 36° + 60°+ 108° + 156° = 360° ⇛ 360° = 360° Hence, Verified.</p></body></html> | |