Question

The angles of a quardelarer of are in the ratio 3, 5, 7,9
Find the
measure of each of the angles​

Answer 1

Let the four angles be 3x, 5x, 7x, 9x. By angle sum property

3x + 5x + 7x + 9x = 360°

24x = 360°

x = $\frac{360}{24}$

x =  = 15°

Hence, the angles are:-

3 x 15° = 45°  

5 x 15° = 75°

7 x 15° = 105°

9 x 15° = 135

Answer 2

Answer:

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 = 30/2

x = 15

The angle of quadrilaterals are-

3x = 3 x 15 = 45

5x = 5 x 15 = 75

7x = 7 x 15 = 105

9x = 9 x 15 = 150

Step-by-step explanation: