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Question for branily star |
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Answer» -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 KNOW, in a quadrilateral sum of interior angles is EQUAL to 360°.That is:⇒ 3x + 5X + 9X + 13X = 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 |
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