Worksheet: Angle Relationships
In this worksheet, we will practice solving problems involving algebraic expressions and equations using the relationships between complementary, supplementary, adjacent, and vertically opposite angles.
Q4:
Determine and in the given figure.
- A,
- B,
- C,
- D,
- E,
Q6:
Determine .
Q7:
If and , find .
Q8:
If the measure of an angleβs supplement is 6 more than three times the measure of its complement, what is the measure of that angle?
Q9:
Given the following figure, find .
Q10:
and are two intersecting straight lines. Given that and , find .
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 measures 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 .
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 measure of is more than the measure of , find the measure of each angle.
- A,
- B,
- C,
- D,
- E,
Q19:
If is an altitude of , , and , find .
Q20:
Find the values of and so that and are perpendicular.
- A,
- B,
- C,
- D,
- E,
Q21:
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
Q22:
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
Q23:
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
Q24:
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
Q25:
Quadrilateral is a rectangle. If and , find .
