In this worksheet, we will practice using angle relationships to solve some algebraic expressions.

**Q2: **

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

- A
- B
- C
- D
- E

**Q3: **

In the given diagram, and are straight lines. Answer the following questions.

Form an equation that will allow you to calculate .

- A
- B
- C
- D
- E

Find the value of .

- A
- B
- C
- D
- E

Find the value of .

- A
- B
- C
- D
- E

Find the value of .

- A
- B
- C
- D
- E

**Q4: **

From the intersecting lines in the figure, determine the value of .

**Q5: **

Answer the following questions using the given diagram.

Form an equation that will allow you to calculate .

- A
- B
- C
- D
- E

Find the value of .

- A
- B
- C
- D
- E

**Q6: **

In the given diagram, is a right angle and is twice . Let .

Form an equation that will allow you to calculate .

- A
- B
- C
- D
- E

Solve for .

- A
- B
- C
- D
- E

**Q7: **

Answer the following questions using the given diagram.

Form an equation that will allow you to calculate .

- A
- B
- C
- D
- E

Find the value of .

- A
- B
- C
- D
- E

**Q8: **

If is an altitude of , , and , find .

**Q9: **

In the given diagram, is a straight line, , and .

Form an equation that will allow you to calculate .

- A
- B
- C
- D
- E

Solve for .

- A
- B
- C
- D
- E

**Q10: **

Find .

**Q11: **

In the given figure, find the values of and .

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

**Q12: **

In the given diagram, is a straight line. Answer the following questions.

Form an equation that will allow you to calculate .

- A
- B
- C
- D
- E

Find the value of .

- A
- B
- C
- D
- E

**Q13: **

In the given diagram, and are straight lines. Answer the following questions.

Form an equation that will allow you to calculate .

- A
- B
- C
- D
- E

Find the value of .

- A
- B
- C
- D
- E

Find the value of .

- A
- B
- C
- D
- E

Find the value of .

- A
- B
- C
- D
- E

**Q14: **

Find the values of and so that and are perpendicular.

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