Question

a quadrilateral PQRS is such that its four angles are in the ratio 1 :3:7:9 . find the measure of its each angle​

Answer 1

Step-by-step explanation:

To find:-

• measure of its each angle

Given:-

• Ratio of four angles = 1:3:7:9

Assume:-

• First angle be 1x or x
• Second angle be 3x
• Third angle be 7x
• Fourth angle be 9x

✫As we know that sum of angles of a quadrilateral= 360°

So,

→ x + 3x + 7x + 9x = 360°

→ 20x = 360°

→ x = 360/20

→ x = 18

✫Hence, Value of angles of quadrilateral PQRS

• First angle be 1x or x = 1×18 = 18°
• Second angle be 3x = 3×18 = 54°
• Third angle = 7x = 7×18 = 126°
• Fourth angle = 9x = 9×18 = 162°

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Check:-

➪ 18° + 54° + 126° + 162° = 360°

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