Question

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

Answer 1

Step-by-step explanation:

Let four angles of the quadrilateral be 3x°,5x°,7x°,9x°•

ACCORDING to the question

3x°,5x°,7x°,9x°=360°[Sum of interior angle of quadrilateral is 360°

24x°=360°

x=15°

Ans: 45°,75°,105°,135°

Answer 2

Answer:

$let \: the \: number \: be \: x \: \\ 1angle \: = 3x \\ 2angle \: = 5x \\ 3angle \: = 7 x \\ forth \: angle \: = 9x \: \\ \\ \\ sumof \: all \:angles \: = 360$

Step-by-step explanation:

3x+5x+7x+9x=360

24x=360

x= 360 / 24

x= 15

first angle= 15×3 = 45

second angle= 15×5 =75

third angle= 15×7 =105

forth angle=15×9=135

= 45 , 75, 105 ,135 ans