Question

The angles of a quadrilateral are in the ratio 3 : 5 : 7 : 9. find the measure of each of these angles.

Answer 1

Let these angles as 3x ,5x , 7x , 9x respectively 

ATQ 

3x + 5x + 7x + 9x = 360 

24x = 360 

2x  = 30 

x    = 15 

3x  =  45 

5x  =  75 

7x  =  105

9x  = 135 

Answer 2

Answer:

The measure of each of these angles is 45,75,105 and 135.

Step-by-step explanation:

Given : The angles of a quadrilateral are in the ratio 3 : 5 : 7 : 9.

To find : The measure of each of these angles ?

Solution :

We know that,

Sum of angle of quadrilateral is 360°.

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

Let x be the common ratio.

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

$24x=360$  

$2x= 30$  

 $x= \frac{30}{2}$  

 $x=15$  

The angle of quadrilaterals are

$3x=3\times 15=45$

$5x=5\times 15=75$

$7x=7\times 15=105$

$9x=9\times 15=135$

The measure of each of these angles is 45,75,105 and 135.