Math, asked by rudrakeshri, 8 months ago

7. If the angles of a pentagon are in the ratio 7:8:11: 13:15, find the angles.

Answers

Answered by ashishsaghalashish
1

Answer:

sooooo easy

Step-by-step explanation:

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Answered by MrSmartGuy1729
10

ANSWER

From the question, it is given that, The angles of a pentagon are in the ratio 7: 8: 11: 13: 15

We know that, Sum of measures of all interior angles of polygons =(2n−4)×90

Given, n=5

=((2×5)−4)×90

=(10−4)×90

=6×90

=540

Let us assume the angles of the pentagon be 7a,8a,11a,13a and 15a.

Then, 7a+8a+11a+13a+15a=540

54a =540

a =540/54

a =10

Therefore, the angles are 7a=7×10=70

8a=8×10=80

11a=11×10=110

13a=13×10=130

15a=15×10=150

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