Question

Find the measure of the four angles of a quadrilateral if they are in the ratio 3:5:7:9.​

Answer 1

Answer:

3x + 5x + 7x + 9x = 360°

24x = 360°

x = = 15°

Hence, the angles are 3 x 15° = 45°

5 x 15° = 75°

7 x 15° = 105°

9 x 15° = 135°

Answer 2

Let measures of angles of quadrilateral are 3x , 5x , 7x and 9x.

sum of all angles of quadrilateral is 360 degree.

Therefore,

3 x + 5 x + 7 x + 9 x = 360°

24x = 360°

x= 360/24

x = 15

Therefore angles of quadrilateral are

3x = 3× 15= 45°

5x = 5× 15= 75°

7x = 7× 15 = 105°

9x = 9× 15 = 135°

Hope it helps...... ✌️