# Worksheet: Sum of the 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.

**Q1: **

In the following figure, what is in the hexagon ?

**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 ?

- A
- B
- C

**Q6: **

The measures of the interior angles of a pentagon satisfy the ratio . What is the measure of the smallest angle?

**Q7: **

Calculate .

**Q8: **

The interior angles of a triangle are in the ratio . What is the smallest angle?

- A
- B
- C
- D

**Q12: **

In the figure, if , , , and , find .