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The angles in a quadrilateral PQRS are such that angle S is fourth proportional of angles P, Q and R. If the ratio of angles Q and P is 5 : 4, and angle S is 125°, find the measure of angle R.1). 90°2). 100°3). 108°4). 120° |
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Answer» Angle S is FOURTH proportional of angles P, Q and R. ⇒ P/Q = R/S Ratio of angles Q and P is 5 : 4, and angle S is 125°. So, P/Q = 4/5 ⇒ 4/5 = R/125 ⇒ R = 4 × 25 = 100 ∴ MEASURE of angle R is 100°. |
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