Identifying and Solving Angle Relationships

• Alternate Interior Angles

• Alternate Exterior Angles

• Same-side Interior Angles

• Corresponding Angles

• None of these

What is the vertical angle to angle 4?

• Angle 2

• Angle 6

• Angle 8

• Angle 7

This is what kind of angle?

• obtuse

• right

• straight

• acute

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

Find the measure of angle CBD.

What is the value of <DBC?

• 17

• 70

• 79

• 83

Find the value of b.

Answer explanation

Set up an equation.

160 - 7b = 3b + 130

Add 7b on both sides

160 = 10b + 130

Solve the two-step equation. Isolate the variable by using inverse operations.

Subtract 130 on both sides.

Then divide both sides by 10

Find x.

Find the value of a.

Answer explanation

Set up an equation.

67 - 13a = 51 - 5a

Add 13a on both sides

Subtract 51 on both sides

67-51 = -5a + 13a

Combine like terms and then solve for a.

Supplementary angles always add up to