Exploring the Exterior Angle Theorem in Geometry

What does the Exterior Angle Theorem state?

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

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

• The measure of an exterior angle of a triangle is equal to the sum of all interior angles.

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

What is an exterior angle?

• An angle that is adjacent to and supplementary to an interior angle.

• An angle that is equal to an interior angle.

• An angle that is opposite to an interior angle.

• An angle that is complementary to an interior angle.

In the given figure, if angles F and G together add up to 115 degrees, what is the measure of angle EFG?

• 53 degrees

• 115 degrees

• 37 degrees

• 90 degrees

If Z equals 13, what is the measure of angle EFG?

• 26 degrees

• 63 degrees

• 37 degrees

• 50 degrees

What is the measure of angle Y in the given problem?

• 90 degrees

• 27 degrees

• 63 degrees

• 51 degrees

Using the Exterior Angle Theorem, if 3n equals n plus 100, what is the value of n?

• 51 degrees

• 52 degrees

• 50 degrees

• 53 degrees

What is the measure of angle X if n equals 51 degrees?

• 51 degrees

• 63 degrees

• 90 degrees

• 27 degrees

Using the triangle sum theorem, what is the measure of angle Z if the other angles are 90 degrees and 63 degrees?

• 57 degrees

• 47 degrees

• 37 degrees

• 27 degrees

In the problem, if the exterior angle is 3x minus 1 and the sum of the remote interior angles is x plus 47, what is the value of x?

• 24

• 25

• 23

• 22

If x equals 24, what is the measure of the exterior angle 3x minus 1?

• 71

• 72

• 73

• 74