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ABCD is a rectangle. Find \(x\).(a) 54° (b) 36°(c) 24° (d) 18° |
Answer» (d) 18° Diagonals of a rectangle are equal and bisect each other. ∴ In ΔAOB ,∠AOB = 162° – 3\(x\) (vert. opp. ∠s) ∠OBA =∠OAB = 2x (∵OA = OB) ∴ ∠AOB +∠OBA+∠OAB = 180° ⇒ 162°– 3\(x\) + 2\(x\) + 2\(x\) = 180° ⇒ \(x\) = 18° |
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