Geometry Practice Test 5

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Question : 1 of 40

Marks: +1, -0

Find the number of sides of a regular polygon whose interior angle is 165°.

20 sides
24 sides
16 sides
26 sides
Cannot be determined

Solution:

Interior angle = 180

({n-2}/n)

165 =

180 ({n-2}/n)

{165}/{180}

=

1-2/n

2/n

=

1-{165}/{180}

2/n

=

{15}/{180}

n =

{2×180}/{15}

n = 24 sides

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