Question

The angles of a guadrilateral are in the ratio 9 : 7 : 3 : 5 . find the angles
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Answer 1

let the angles be in the ratio

9x:7x:3x:5x

we know that the sum of all angles in a quadrilateral is 360,so

9x + 7x + 3x + 5x = 360

24x = 360

x = 15

so, 9x = 9× 15= 135°

7x = 7× 5= 35°

3x = 3× 15= 45°

5x = 5× 15= 75°

I hope it helps

Answer 2

Step-by-step explanation:

Given,

The angles of a quadrilateral are in the ratio 9 : 7 : 3 : 5

Let x be the common ratio.

Then,

9x + 7x + 3x + 5x = 360 (Sum all angle of quadrilateral)

=> 24 x = 360

=> x = 360/24

=> x = 15

Angle of quadrilateral

9(x) = 9 × 15 = 135

7(x) = 7 x 15 = 105

3(x) = 3 × 15 = 45

5(x) = 5 × 15 = 75

Hence, angle are 135, 105, 45 and 75 according to question.

Solved by

Aaditya Singh