Question

The angles of a pentagon are in the ratio 3: 5:6: 7:9. Find the measure of each angle.​

Answer 1

ANSWER

The interior angles of a pentagon are in the ratio 4:5:6:7:5.

Let angles are 4x,5x,6x,7x and 5x.

Sum of all angles of a polygon, having n sides = 180

o

(n−2)=180

o

(5−2)=540

o

Now,

4x+5x+6x+7x+5x=540

o

27x=540

o

x=20

o

Angles are

4x=4×20

o

=80

o

5x=5×20

o

=100

o

6x=6×20

o

=120

o

7x=7×20

o

=140

o

5x=5×20

o

=100

o

Hope it helps

Please mark it as brainliest please