Recognizing Angle Relationships

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Answer DO NOW MONDAY. Write your answer below the given figure. Write TWO names for each.

Angle Relationships

​How to find missing angles using angle properties

​Complimentary Angles

Complimentary angles are two angles that have a sum of 90 degrees​.

Multiple Choice

If the two angles shown are complimentary angles, what would be the measure of angle x?

• 53 degrees

• 90 degrees

• 37 degrees

• 73 degrees

Multiple Choice

If the two angles shown are complimentary angles, what would be the measure of angle x?

• 90 degrees

• 20 degrees

• 15 degrees

• 75 degrees

​Supplementary Angles

​Supplementary angles are angles that have a sum of 180 degrees.

Multiple Choice

If the two angles shown are supplementary angles, what would be the measure of angle x?

• 52 degrees

• 76 degrees

• 118 degrees

• 62 degrees

Multiple Choice

If the three angles shown are supplementary angles, what would be the measure of angle x?

• 86 degrees

• 79 degrees

• 21 degrees

• 48 degrees

Multiple Choice

• x = 118

• x = 108

• x = 28

• x = 58

• x = 62

Multiple Choice

Find the value of x in the diagram so that the angles form a linear pair

• 118

• 62

• 72

• 68

Adjacent Angles

• Two angles that lie in the same plane and have a common vertex and a common side but no common interior points

• Two angles that are next to each other

Linear Pair

• A pair of adjacent angles with noncommon sides that are opposite rays

• Notice that the first 4 letters of linear spell line, so a linear pair forms a line.

Multiple Choice

Identify if the pair of angle are Adjacent or linear pair

• Adjacent

• Linear Pair

• Adjacent and linear

Multiple Choice

Identify if the given angle is an adjacent or linear pair

• Adjacent

• Linear Pair

• Adjacent and Linear Pair

• Neither

Multiple Choice

Identify if the given figure is an adjacent or linear pair

• Adjacent

• Linear Pair

• Adjacent and Linear Pair

• Neither

​Vertical Angles

​Vertical angles are angles that are opposite of each other when two lines intersect. Vertical angles are congruent (equal) to each other.​

Multiple Select

Which pairs of angles are vertical angles? Check all that apply.

• The 76 degree angle and angle y are vertical angles

• Angles y and z are vertical angles

• Angles x and z are vertical angles

• The 76 degree angle and angle z are vertical angles

Multiple Choice

What is the measure of angle x?

• 130 degrees

• 50 degrees

• 90 degrees

• 40 degrees

​Let's try some mixed practice. Use what you have learned in the previous slides to solve this next set of problems.

Fill in the Blanks

The angles marked in blue are

angles

Fill in the Blanks

The angles marked in red are

angles

Multiple Choice

Choose the correct measurements for the missing angles in the diagram

• angle x = 104

  angle y = 104

  angle z = 104

• angle x = 104

  angle y = 76

  angle z = 104

• angle x = 76

  angle y = 104

  angle z = 76

• angle x = 104

  angle y = 76

  angle z = 76

Multiple Choice

What is the measure of angle x?

• 35 degrees

• 10 degrees

• 80 degrees

• 65 degrees

Multiple Choice

If the angle marked in orange is 118 degrees and the angle marked in red is 90 degrees, what would be the measure of angle f?

• 28 degrees

• 118 degrees

• 35 degrees

• 62 degrees

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