1.

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°

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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