Question

The angles of a quadrilateral are in the ratio of 3:5:7:9 find the measure of smallest angle

Answer 1

Answer:

The smallest angle =  75°

Step-by-step explanation:

Given : The angles of quadilateral are in the ratio  3:5:7:9

To find : The smallest angle

Solution :

We know that the sum of the angles of a quadilateral is 360°

=> 3x + 5x + 7x + 9x = 360°

=> 24x = 360°

=> x = 360/24

=> x = 15°

the smallest angle = 3x

=> 3x = 3 x 15

=> 3x = 75°

The smallest angle =  75°

Hope this helps you

              :)