Math Practice Problems - Polygon Angles

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Polygon Angles - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=2, Mode=sum

Solve.

Complexity=1

Solve.

Complexity=2

Solve.

Answers

Complexity=1, Mode=sum

Solve.

#	Problem	Correct Answer	Your Answer
1	What is the sum of the interior angles of a quadrilateral?	°
Solution To find the sum of the interior angles of a polygon, use the formula 180 (n - 2) where n is the number of sides. Sum of the interior angles of a quadrilateral = 180 (4 - 2) = 360 degrees

#	Problem	Correct Answer	Your Answer
2	What is the sum of the exterior angles of an octagon?	°
Solution The sum of the exterior angles of a polygon is always 360°.

Complexity=2, Mode=sum

Solve.

Problem

Correct Answer

Your Answer

How many sides does a polygon have if
the sum of its interior angles is
1260°?

Solution
To find the sum of the interior angles of a polygon, use the formula
180 (n - 2) where n is the number of sides.

Apply the formula to solve for n.

180 (n - 2)	=	1260
n - 2	=	7
n	=	9

Problem

Correct Answer

Your Answer

How many sides does a polygon have if
the sum of its interior angles is
180°?

Solution
To find the sum of the interior angles of a polygon, use the formula
180 (n - 2) where n is the number of sides.

Apply the formula to solve for n.

180 (n - 2)	=	180
n - 2	=	1
n	=	3

Complexity=1

Solve.

Problem

Correct Answer

Your Answer

What is the measurement of an interior
angle of a regular nonagon?

Solution
To find the measure of each interior angle of a regular polygon, use the formula

180 (n - 2)	where n is the number of sides.
n

180 (9 - 2)	= 140
9

Problem

Correct Answer

Your Answer

What is the measurement of an exterior
angle of a regular triangle?

Solution
To find the measure of each interior angle of a regular polygon, use the formula

360	where n is the number of sides.
n

360	= 120
3

Complexity=2

Solve.

Problem

Correct Answer

Your Answer

An exterior angle of a regular polygon
measures 36°. How many sides does
the polygon have?

Solution
To find the measure of each interior angle of a regular polygon, use the formula

360	where n is the number of sides.
n

Apply the formula to solve for n.

360	=	36
n	=	36
360	=	36n
360	=	n
36	=	n
n	=	10

Problem

Correct Answer

Your Answer

An interior angle of a regular polygon
measures 60°. How many sides does
the polygon have?

Solution
To find the measure of each interior angle of a regular polygon, use the formula

180 (n - 2)	where n is the number of sides.
n

Apply the formula to solve for n.

180 (n - 2)	=	60
n	=	60
180n - 360	=	60n
120n	=	360
n	=	3

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