# 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 .

**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?

**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.