Question

the angles of a quadrilateral are in the ratio 1,3,7,9 the measure of largest angle IS​

Answer 1

Answer:

162°

Step-by-step explanation:

Ratio of the angles of a quadrilateral = 1:3:7:9

Then let the angles be 1a3a7a and 9a.

So 1a+3a+7a+9a = 360° ( angle sum property of a quadrilateral )

= 20a = 360°

a = 360/20

= 18°

1a = 1×18° = 18°

3a = 3×18° = 54°

7a = 7×18° = 126°

9a = 9×18° = 162°

The measure of the largest angle is 162°