In this worksheet, we will practice finding a missing angle measure using the relations between complementary, supplementary, or vertically opposite angles.

**Q4: **

Determine and in the given figure.

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

**Q6: **

Determine .

**Q7: **

If and , find .

- A
- B
- C
- D
- E

**Q8: **

If the size of an angle’s supplement is 6 more than three times the size of its complement, what is the size of that angle?

- A
- B
- C
- D
- E

**Q9: **

Given the following figure, find .

**Q10: **

and are two intersecting straight lines. Given that and , find .

- A
- B
- C
- D
- E

**Q11: **

If and form a linear pair, where and , determine and .

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

**Q12: **

These two angles are supplementary. Write and solve an equation to find .

Recall that two angles are supplementary if the sum of their sizes is .

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

**Q13: **

The rays and are perpendicular. A point lies in the interior of . Given that and , find and .

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

**Q14: **

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

**Q15: **

Given that and , find .

- A
- B
- C
- D
- E

**Q16: **

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

**Q17: **

Using the fact that the lines in the figure intersect, find the values of and .

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

**Q18: **

If and are supplementary, and the size of is more than the size of , find the size of each angle.

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

**Q19: **

Find and .

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