# Worksheet: Applications of Angles Relationships

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

Q1:

What is the measure of ?

Q2:

Find .

Q3:

Find , , and .

• A , ,
• B , ,
• C , ,
• D , ,

Q4:

Determine and in the given figure.

• A ,
• B ,
• C ,
• D ,
• E ,

Q5:

Find .

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 ,