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9.01 Angles of polygons

Adaptive
Worksheet

Interactive practice questions

Neil claims to have drawn a regular polygon with each interior angle equal to $130^\circ$130°.

a

What value of $n$n would be needed to produce an angle of $100^\circ$100° using the interior angle sum formula?

Round your answer to one decimal place.

b

What type of polygon has this value of $n$n?

This shape does not exist

A

Heptagon

B

Pentagon

C

Hexagon

D

Nonagon

E

Octagon

F
Easy
3min

Dave claims to have drawn a regular polygon with each interior angle equal to $100^\circ$100°.

Easy
2min

James claims to have drawn a regular polygon each interior angle equal to $150^\circ$150°.

Easy
1min

Yvonne claims to have drawn a regular polygon each interior angle equal to $140^\circ$140°.

Easy
3min
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Outcomes

G.PC.2

The student will verify relationships and solve problems involving the number of sides and angles of convex polygons.

G.PC.2a

Solve problems involving the number of sides of a regular polygon given the measures of the interior and exterior angles of the polygon.

G.PC.2b

Justify the relationship between the sum of the measures of the interior and exterior angles of a convex polygon and solve problems involving the sum of the measures of the angles.

G.PC.2c

Justify the relationship between the measure of each interior and exterior angle of a regular polygon and solve problems involving the measures of the angles.

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