# Worksheet: Vertically Opposite Angles

In this worksheet, we will practice investigating the relationship between angles in intersecting lines and finding the measure of unknown angles.

**Q3: **

In the figure, lines and intersect at . What is ?

**Q5: **

In the given diagram, and . Find the value of .

- A
- B
- C
- D
- E

**Q6: **

Knowing that , , , and , find .

**Q8: **

If and are vertical angles, where and , find and .

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

**Q9: **

In the figure, , , , and . Find the values of and .

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

**Q10: **

In the given diagram, = . Find .

**Q12: **

What is in the following figure?

**Q13: **

Find the value of .

**Q15: **

Lines and meet at . Determine the value of .

**Q16: **

In the figure rays and meet at , and . What is ?

**Q17: **

In the given figure, if and , find .

**Q18: **

Which of the following statements is always true of vertically opposite angles?

- AVertically opposite angles sum to .
- BVertically opposite angles sum to .
- CVertically opposite angles are complementary.
- DVertically opposite angles are equal.
- EVertically opposite angles are supplementary.

**Q19: **

What is the sum of the measures of the two adjacent angles formed by a straight line and a ray?

**Q20: **

Which of these is the supplement of an acute angle?

- Aright angle
- Bacute angle
- Creflex angle
- Dobtuse angle

**Q21: **

If , then and are .

- Asupplementary
- Badjacent
- Ccomplementary
- Dequal in measure

**Q22: **

Two angles are supplementary and one of them is a. What is the other?

**Q23: **

In the given diagram, is a right angle and . Work out .

**Q24: **

Find , , and .

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