The clock below is in the shape of a regular pentagon. What is x, the degree measure that the bottom side of the clock makes with the surface of the table ?

Question

directrix · Answer

Please post diagram. Thanks.

anonymous · Answer

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anonymous · Answer

And inside of the pentagon is the clock

directrix · Answer

A regular pentagon is both equilateral and equiangular.
The sum of the interior angles of a pentagon is 540 degrees.
Because the measures of the interior angles are the same, divide 540 by 5 to get the measure of one angle That gives 108.

The angle with measure x is an exterior angle of the pentagon.
It is supplementary to an adjacent interior angle.

108 + x = 180.
Solve for x.             @Leyla_12

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