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Question

In a quadrilateral PQRS, the angles P, Q, R and S are in the ratio 2 : 3 : 5 : 5. The measures of each angle are:


  1. 72°, 96°, 120° and 100°

  2. 24°, 96°, 240° and 120°

  3. 48°, 72°, 120° and 120°

  4. 72°, 48°, 125° and 135°


Solution

The correct option is C

48°, 72°, 120° and 120°


2x+3x+5x+5x= 360° [The sum of angles of a quadrilateral is 360°.]

x = 24°

The corresponding angles of a quadrilateral are 48°, 72°, 120° and 120°

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