Question

(i) 1260°
(11) 1900
7. If the angles of a pentagon are in the ratio 7:8:11: 13:15, find the angles.
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Answer 1

ThusAnswer:

Step-by-step explanation:

The angles of a pentagon are in the ratio 7:8:11: 13:15,

Let the angles are 7x:8x:11x:13x:15x

Sum of  all the interior angles of polygonal with n sides

=(n-2)*180

For pentagonal n=5

So sum of angles=(5-2)*180=540 deg

Hence 7x+8x+11x+13x+15x=540

30x+24x=540

54x=540

x=10

So the angles are:

7x=7*10=70°

8x=8*10=80°

11x=11*10=110°

13x=130*10=130°

15x=15*10=150°