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Question for genius rank and moderator rank |
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Answer» -STEP explanation:❍ Given : Ratio of the ANGLES of a quadrilateral is 3:5:9:13 ❍ To FIND : 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°. ❍ VERIFICATION : ⇛ 36° + 60°+ 108° + 156° = 360° ⇛ 360° = 360° Hence, Verified. |
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