A quadrilateral PQRS is such that its fourth angles are in the ratio 1:3:7:9 . Find the measure of its each angle.

The four angles of a Quadrilateral PQRS are in the ratio 1 : 3 : 7 : 9.

the measure of its each angle

Let the four angles be x , 3x , 7x , 9x.

We know that,

Sum of four angles of a Quadrilateral = 360°

→ x + 3x + 7x + 9x = 360°

→ 20x = 360°

→ x = 360°/20

→ x = 18°

Therefore,

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→ x + 3x + 7x + 9x = 360°

→ 20x = 360°

→ x = 360°/20

→ x = 18°

Therefore,

1st angle = x = 18°

2nd angle = 3x = 3(18) = 54°

3rd angle = 7x = 7(18) = 126°

4th angle = 9x = 9(18) = 162°.

Step-by-step explanation:

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