Question

In a quadrilateral PQRS, the angle P, Q, R,and S are in the ratio 4:3:2:1 find the measure of each angle of the quadrilateral.
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Answer 1

Answer:

4:3:2:1

A quadrilateral is always 360°

Now,

4x + 3x + 2x + 1x = 360°

10x = 360°

x = 360° ÷ 10°

x = 36°

So,

4 × 36° 3 × 36° 2 × 36° 1 × 36°

= 144° = 108° = 72° = 36°

To check the answer

144° + 108° + 72° + 36° = 360°