Worksheet: Interior Angles of a Polygon
In this worksheet, we will practice finding the sum of the interior angles of a polygon given the number of its sides and the measure of an angle in a regular polygon.
Q2:
In the figure, if , , , and , find .
Q4:
In the figure, segments and meet at . If , , , , and , find .
Q5:
From the information in the figure, what is ?
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Q7:
Calculate .
Q8:
The interior angles of a triangle are in the ratio . What is the smallest angle?
Q12:
In the figure, if , , , and , find .
Q13:
Find the measure of one interior angle of a regular polygon that has 5 sides.
Q14:
Anthony finds a building that has a triangular base. If he were to walk around the building, finishing at the same point, in the same direction, how many degrees would he turn?
Q15:
Write an expression for the sum of the measures of the interior angles of a polygon with sides.
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Q16:
What is the fomula for the measure of the interior angle of a regular polygon with sides?
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Q17:
What is the measure of the interior angle of a regular pentagon?
Q20:
Determine, to the nearest minute, the measure of the interior angle of a regular polygon that has 30 sides.
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Q21:
A certain company makes hot tubs in a variety of different shapes. Find the measure of an interior angle of the regular nonagon model.