Question

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

Answer 1

Answer:

9+7+3+5

= 24

24x = 360 degrees

x = 15 degrees...

First Angle = 15*9 = 135 degrees

Second Angle = 15*7 = 105 degrees

Third Angle = 15*3 = 45 degrees

Fourth Angle = 15*5 = 75 degrees...

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Answer 2

Let the angles be x and sum of all the interior angles of a quadrilateral = 360°

9x + 7x + 3x + 5x = 360°

24x = 360°

x = 360° / 24

x = 15°

so the angles are

9x = 135°

7x = 105°

3x = 45°

5x = 75°