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Worksheet: Applications of Angles Relationships
Q3:
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 ,
Q6:
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
Q7:
If and , find .
Q8:
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 ,
Q9:
and are two intersecting straight lines. Given that and , find .
Q10:
Determine and in the given figure.
- A ,
- B ,
- C ,
- D ,
- E ,
Q11:
Given the following figure, find .
- A
- B
- C
- D
Q12:
If and form a linear pair, where and , determine and .
- A ,
- B ,
- C ,
- D ,
- E ,
Q13:
Find and .
- A ,
- B ,
- C ,
- D ,
- E ,
Q14:
The rays and are perpendicular. A point lies in the interior of . Given that and , find and .
- A ,
- B ,
- C ,
- D ,
- E ,
Q15:
Determine .
- A
- B
- C
- D
Q16:
Given that and , find .
Q17:
Using the fact that the lines in the figure intersect, find the values of and .
- A ,
- B ,
- C ,
- D ,
- E ,
Q18:
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?
Q19:
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