Angle Relationships

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

​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

​Exterior Angle Theorem

​The Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Multiple Choice

What is the measure of angle x? Use the Exterior Angle Theorem to solve the problem.

• Angle x has a measure of 109 degrees

• Angle x has a measure of 64 degrees

• Angle x has a measure of 45 degrees

• Angle x has a measure of 19 degrees

Multiple Choice

What is the measure of angle x? Use the Exterior Angle Theorem to solve the problem.

• Angle x has a measure of 144 degrees

• Angle x has a measure of 39 degrees

• Angle x has a measure of 111 degrees

• Angle x has a measure of 75 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 Blank

The angles marked in blue are _______ angles

Fill in the Blank

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

Here is a summary of the angle relationships we have learned about in this lesson. You are finished!