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28 October, 06:03

Multiple Choice

4. If each interior angle of a regular convex polygon is nine times the measure of the exterior angle, how many sides does it have?

18 sides

10 sides

40 sides

20 sides

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Answers (1)
  1. 28 October, 06:28
    0
    Let x be the degree of an exterior angle

    x+9x=180

    x=18

    let n be the no. of sides

    (n-2) * 180/n=9*18

    180n-360=162n

    18n=360

    n=20

    so the no. of sides is 20
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