Question

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

Answer 1

Answer:

45°, 75°, 105°, 135°

Step-by-step explanation:

let the four angles be 3x,5x,7x,9x

sum of all angles of a quadrilateral=360°

3x+5x+7x+9x=360°

24x=360°

x=360°/24

x=15

3x=3(15)=45°

5x=5(15)=75°

7x=7(15)=105°

9x=9(15)=135°

Answer 2

Answer:

Angles = 45°, 75°, 105°, 135°

Step-by-step explanation:

Ratio = 3:5:7:9

Let the angle of quad. be x

So,

3x + 5x + 7x + 9x = 360°                     (Angle Sum Property)

24x = 360°

x = 360 / 24

x = 15

Angles =

3 * 15 = 45°

5 * 15 = 75°

7 * 15 = 105°

9 * 15 = 135°