Question

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

Answer 1

hey mate I hope this will help you

let the four angles be a,b,c,d so a = 3x , b = 5x , c is 7x and d is 9x

sum of all angles in a quadrilateral is 360°

so 3x + 5x + 7x + 9x = 360°
24x = 360°
x = 360.24 = 15

from this a is 45
b is 75
c is 105
d is 135

pls mark it as brainliest

Answer 2

Given:

• the measure of the four angles of a quadrilateral are in the ratio 3 :5: 7: 9

To Find:

• The measure of the four angles!

Solution:

ACQ,

✪ Let the four angles be 3x , 5x , 7x ,9x

We know,

Sum of interior angles in a quadrilateral is 360°

→ 3x + 5x + 7x + 9x = 360°

→ 24x = 360°

→ x = 360/24

→ x = 15°

So, the angles are,

→ 3x = 45°

→ 5x = 75°

→ 7x = 105°

→ 9x = 135°

Hence:

• The Required angles are 45,75,105,135 respectively!