Question

the angle of a quadrilateral are in the ratio of 2:5:7:9. find the measure of each of this angles​

Answer 1

Step-by-step explanation:

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 = 3603x+5x+7x+9x=360

24x=36024x=360

2x= 302x=30

x= \frac{30}{2}x=

2

30

x=15x=15

The angle of quadrilaterals are

3x=3\times 15=453x=3×15=45

5x=5\times 15=755x=5×15=75

7x=7\times 15=1057x=7×15=105

9x=9\times 15=1359x=9×15=135

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