In this worksheet, we will practice identifying special pairs of angles and pointing them out and solving problems based on the relation between lines and angles.

**Q1: **

From the figure, determine .

**Q3: **

In the figure, lines and meet at . Find .

- A
- B
- C
- D

**Q4: **

Given that , , , and are collinear, find .

**Q5: **

Given the following figure, find the value of .

- A
- B
- C
- D
- E

**Q6: **

Find given that and .

**Q7: **

Every time the turtle turns, he turns . If he ends up turning in a full circle, how many turns did he make?

**Q8: **

Use , , or to fill in the blank: .

- A
- B
- C

**Q9: **

In the figure below, . If is an angle bisector, what is ?

**Q10: **

Find if and .

**Q11: **

In , and . Arrange the lengths of the sides of the triangle in descending order.

- A
- B
- C
- D
- E

**Q12: **

Find the value of .

**Q13: **

If , find .

**Q14: **

Are and adjacent angles?

- Ano
- Byes

**Q15: **

Find the value of .

- A
- B
- C
- D

**Q16: **

Answer the questions for the given figure.

Find the value of .

Find the value of .

**Q17: **

If two lines intersect at a point, how many angles do they create?

- A5
- B2
- C3
- D4

**Q18: **

Determine .

**Q19: **

Find .

**Q20: **

Given that and , find the measure of each numbered angle.

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

**Q21: **

In the given figure, and are parallel lines and is a transversal.

Is there a translation that can map to ?

- Ayes
- Bno

What, therefore, is true of the corresponding angles and ?

- AThey have equal measure.
- BThey are right angles.
- CThey are supplementary.
- DThey are complementary.
- EThey are obtuse angles.

What is true of angles are and ?

- AThey are complementary angles and hence have a sum of .
- BThey are supplementary and hence have a sum of .
- CThey are vertically opposite and hence have equal measure.

What, therefore, is true of the alternate angles and ?

- AThey are of equal measure.
- BThey are complementary angles.
- CThey are supplementary angles.

**Q22: **

Using the information in the figure, determine .

**Q23: **

In the figure below, find .

**Q24: **

, , and are accumulative angles at a point. If and , find .

**Q25: **

The figure shows a pair of parallel lines with a transversal drawn through them.

What name is given to the pairs of green and red angles highlighted in the figure?

- Aalternate exterior angles
- Bcorresponding angles
- Cstraight angles
- Dalternate interior angles

What name is given to the pairs of blue and orange angles highlighted in the figure?

- Astraight angles
- Balternate interior angles
- Ccorresponding angles
- Dalternate exterior angles

What do you notice regarding the measures of two alternate angles?

- AThey are supplementary.
- BThey are complementary.
- CThey are equal.