7.G.5 Angle Properties Introduction (Vocab)

7.G.5 Angle Properties

Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and

solve simple equations for an unknown angle in a figure.

Supplementary Angles

• These are two angels that add together and equal 180 degrees

• This feature is nearly always associated with a straight line.

• A straight line has an angle measurement of 180 degrees

Example 1. Two intersecting lines form an 80 degree angle. What is the resulting supplementary angle?

• 180 = 80 + X

• 180 - 80 = 80 - 80 + X

• 100 = X

Multiple Choice

What is the measure of angle x?

• 118

• 62

• 26

Complementary Angles

• Two angles that add together and equal 90 degrees

• This feature will always be a right angle

Example 2. A right angle is intersected by a line forming a 40 degree angle. What is the complementary angle formed by the line?

• 90 = 40 + X

• 90 - 40 = 40 - 40 + X

• 50 = X

Multiple Choice

What is the measure of angle x?

• 105

• 75

• 25

• 15

Vertical Angles

• The angles opposite of each other that are form by intersecting lines

• Vertical angles are always congruent (have the same measurement)

Example 3. Two straight lines intersect forming four vertical angles. Angle A is equal to 45 degrees. What is the measure of angle C if it is directly across from angle A?

• Vertical angles are congurent

• Angle A and Angle C are congruent since they are vertical angles

• Angle C is equal to 45 degrees

Multiple Choice

What is the value of Angle Y?

• 65

• 90

• 115

• 180

Multiple Choice

When two angle measurements add together to equal 180 degrees these angles are called?

• Complementary Angles

• Supplementary Angles

• Vertical Angles

Multiple Choice

When two angle measurements add together to equal 90 degrees these angles are called?

• Complementary Angles

• Supplementary Angles

• Vertical Angles

Multiple Choice

When two intersecting lines form angles that are opposite each other, these angles are called?

• Complementary Angles

• Supplementary Angles

• Vertical Angles