7. If the angles of a pentagon are in the ratio 7:8:11: 13:15, find the angles.
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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
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Given, n=5
=((2×5)−4)×90
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=(10−4)×90
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=6×90
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=540
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Let us assume the angles of the pentagon be 7a,8a,11a,13a and 15a.
Then, 7a+8a+11a+13a+15a=540
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54a =540
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a =540/54
a =10
Therefore, the angles are 7a=7×10=70
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8a=8×10=80
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11a=11×10=110
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13a=13×10=130
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15a=15×10=150
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