# Worksheet: Interior Angles and Number of Sides of a Polygon

In this worksheet, we will practice finding the values of interior angles of a polygon given the number of its sides and vice versa.

Q1:

Find and .

• A ,
• B ,
• C ,
• D ,

Q2:

Write an expression for the sum of the measures of the interior angles of a polygon with sides.

• A
• B
• C
• D
• E

Q3:

What is the measure of the interior angle of a regular pentagon?

Q4:

Find the measure of one interior angle of a regular polygon that has 5 sides.

Q5:

Each interior angle of a polygon is . How many sides does it have?

Q6:

What is the fomula for the measure of the interior angle of a regular polygon with sides?

• A
• B
• C
• D

Q7:

Shady 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?

Q8:

Determine, to the nearest minute, the measure of the interior angle of a regular polygon that has 30 sides.

• A
• B
• C
• D

Q9:

Each interior angle of a polygon is . How many sides does it have?

Q10:

Each interior angle of a polygon is . How many sides does it have?