Worksheet: Using Angle Relationships to Solve Algebraic Expressions

In this worksheet, we will practice using angle relationships to solve some algebraic expressions.

Q1:

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

Q2:

In the given diagram, and . Find the value of .

• A
• B
• C
• D
• E

Q3:

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

Q4:

From the intersecting lines in the figure, determine the value of .

Q5:

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

Q6:

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

Q7:

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

Q8:

If is an altitude of , , and , find .

Q9:

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

Q10:

Find .

Q11:

In the given figure, find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q12:

In the given diagram, is a straight line. 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

Q13:

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

Q14:

Find the values of and so that and are perpendicular.

• A ,
• B ,
• C ,
• D ,
• E ,