Use the diagram below to determine x and y. and are straight lines.

x = ________

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y = ________

Name a pair of vertical angles.

Find the measure of ∠BOF. Do not include units in your answer.

Justify your calculation.

Given line and line in a plane, a third line intersects at a single point and intersects at a single but different point. Line and line are parallel. Name the corresponding angles that are equal in measure.

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Name the alternate interior angles that are equal in measure.

Name the same-side interior angles that are supplementary.

What is the measure of ∠a?

Do not include units (°) in your answer.

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What is the measure of ∠b?

Do not include units (°) in your answer.

What is the measure of ∠c?

Do not include units (°) in your answer.

What is the measure of ∠d?

Do not include units (°) in your answer.

An ____________________ is sometimes useful when solving for unknown angles.

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In the figure below, we can use the auxiliary line to find the measures of ∠e and ∠f and then add the two measures together to find the measure of ∠W.

= ________

Do not include units (°) in your answer.

= ________

Do not include units (°) in your answer.

= ________

Do not include units (°) in your answer.

Give a reason for your solution.

= ________

Do not include units (°) in your answer.

Give a reason for your solution.

= ________

Do not include units (°) in your answer.

Give a reason for your solution.

Give a reason for your solution.

Give a reason for your solution.

= ________

Give a reason for your solution.

Give a reason for your solution.

Give a reason for your solution.

Give a reason for your solution.

Give a reason for your solution.

= ________

Do not include units (°) in your answer.

Give a reason for your solution.

= ________

Do not include units (°) in your answer.

Give a reason for your solution.

Give a reason for your solution.

Give a reason for your solution.

= ________

Do not include units (°) in your answer.

Give a reason for your solution.

Give a reason for your solution.