# Worksheet: The Sum of Angles in Quadrilaterals

In this worksheet, we will practice finding a missing angle's measure in a quadrilateral knowing that the sum of angles in a quadrilateral is 360 degrees.

**Q2: **

In the given figure, and . Find .

**Q5: **

In a quadrilateral, if , find .

**Q6: **

The sum of the measures of the angles of a trapezoid is . Write an equation to find the missing measure , and then solve it.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q7: **

From the figure, in which , , and , find the values of and .

- A ,
- B ,
- C ,
- D ,

**Q8: **

Given that , find and .

- A ,
- B ,
- C ,
- D ,

**Q9: **

Determine .

**Q10: **

From the figure, determine .

- A
- B
- C
- D
- E

**Q11: **

In the figure, , , and . Determine the measure of all angles in .

- A , , ,
- B , , ,
- C , , ,
- D , , ,

**Q12: **

Determine .

**Q13: **

In the figure, if , , , determine .

**Q14: **

The internal angles of a quadrilateral are in the ratio . What is the largest angle?

- A
- B
- C
- D

**Q15: **

In the given figure, find and .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q16: **

Find the measures of the angles of a quadrilateral given that the ratio between them is .

- A , , ,
- B , , ,
- C , , ,
- D , , ,
- E , , ,

**Q22: **

In a quadrilateral, if , find .

**Q23: **

In the given figure, and . Find .

**Q24: **

In the given figure, and . Find .

**Q25: **

Three angles in a quadrilateral are rad, rad and . Find the measure of the fourth angle in radians giving the answer to three decimal places.