Exploring the Exterior Angle Theorem

What does the Exterior Angle Theorem state?

• The measure of an exterior angle is equal to the measure of one interior angle.

• The measure of an exterior angle is equal to the sum of the measures of the two adjacent interior angles.

• The measure of an exterior angle is equal to the difference between the measures of the two remote interior angles.

• The measure of an exterior angle is equal to the sum of the measures of the two opposite remote interior angles.

In the first example, if angle EDC is 70 degrees and angle CED is 24 degrees, what is the measure of the exterior angle DCG?

• 70 degrees

• 24 degrees

• 94 degrees

• 46 degrees

Which angles are considered remote interior angles in a triangle?

• The angles that are supplementary to the exterior angle.

• The angles that are not adjacent to the exterior angle.

• The angles adjacent to the exterior angle.

• All the interior angles of the triangle.

In the second example, if the exterior angle EST is 150 degrees and angle SUT is 90 degrees, what is the measure of the missing angle STU?

• 30 degrees

• 150 degrees

• 90 degrees

• 60 degrees

In the third example, if the exterior angle is 123 degrees and one of the interior angles is 69 degrees, what is the measure of the missing angle STU?

• 69 degrees

• 54 degrees

• 31 degrees

• 123 degrees

What is the equation used to find the exterior angle PDC in the assignment problem?

• PDC = DCB / DBC

• PDC = DCB * DBC

• PDC = DCB - DBC

• PDC = DCB + DBC

If 17x - 1 = 89 + 7x, what is the value of x?

• 8

• 9

• 10

• 11

What is the measure of angle PDC if x = 9?

• 154 degrees

• 153 degrees

• 155 degrees

• 152 degrees

What is the measure of angle DBC if x = 9?

• 71 degrees

• 69 degrees

• 68 degrees

• 70 degrees

What should you do to solve for x in the assignment problem?

• Add the equations

• Subtract the equations

• Multiply the equations

• Combine like terms and solve for x