Question

The angle of a quadrilateral are in a ratio 3: 5: 7: 9 find the measure of this angle

Answer 1

Answer:

45°, 75°, 105° and 135°.

Step-by-step explanation:

Let the angles be 3d, 5d, 7d and 9d.

3d + 5d + 7d + 9d = 360° (ASP of a quadrilateral)

24d = 360°

d = 15°.

So the angles are 45°, 75°, 105° and 135°.

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Answer 2

Answer:

Let the given number of angles be x

So, 3x + 5x + 7x + 9x = 360° ( Angle sum property of Quadrilateral )

24x = 360°

x = 360/24

x = 15°

Therefore , the given angles are

3x = 15 x 3 = 45°

5x = 15 x 5 = 75°

7x = 15 x 7 = 105°

9x = 15 x 9 = 135 °

Step-by-step explanation:

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