Angles Study Guide

Using the diagram on the right, write an equation based on the angle measures given and solve for x.

• 43

• -52

• 180

• -7

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CCSS.8.G.A.5

Angles are formed at the intersection of lines in the diagram. What is the value of x in the diagram?

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7.G.5

Angle M and angle N are complementary angles. The measure of angle M is (3x - 7) degrees, and the measure of angle N is 16 degrees, write an equation that would help solve angle M and give the measure of angle M.

• 3x + 7 + 16 = 90

  Angle M = 74°

• 3x + 7 + 16 = 90

  Angle M = 27°

• 3x + 7 + 16 = 180

  Angle M = 74°

• 3x + 7 + 16 = 180

  Angle M = 27°

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7.G.5

Consider the diagram. What is the value of n?

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7.G.5

Line n is parallel to line m. Both lines are intersected by line p, creating 8 angles. If the measure of ∠1=110°, what is the measure of ∠6?

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7.G.5

Angles Q and R are vertical angles. Angle Q has a measure of (4x-2) degrees. Angle R has a measure of 54 degrees. What is the value of x?

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7.G.5

WX intersects YZ at a point. What is the value of x, in degrees?

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7.G.5

In the diagram, ∠CBE and ∠DBE are complementary angles. What is the measure of ∠DBE?

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7.G.5

Two angles are shown. ∠E is three times as large as ∠F. What is the measure of ∠E?

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7.G.5

What is the measure of the obtuse angle in this figure?

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7.G.5