Angles and Triangles

Angle Relationships

2

Two angles are corresponding. The measure of the first angles is 42 degrees, what is the measure of the second angle?

42 degrees

Find the Missing Angle

2

What is measure of an angle that is vertical to an angle of 113 degrees?

113 degrees.

8

Angle A and B are complementary. Angle A is represented by x+2 and Angle B is represented by x+8. Find the angle measures.

Angle A is 42. Angle B is 48.

Triangle Sum Theorem

4

In Triangle DEF, the measure of angle E is 30, angle F is a right angle, what is the measure of angle D?

60 degrees.

6

In Triangle MNO, if angle M is 3x, angle N is 2x+40, and angle O is x-20, what is the sum of the three angles?

180 degrees.

Exterior Angle Theorem

4

If the remote interior angles measure 26 and 134 degrees, what is the measure of the exterior angle?

160 degrees.

6

What does the Exterior Angle Theorem state?

The exterior angle is equal to the sum of the remote interior angles.

8

If one remote interior angle is a right angle, and the other measures 45 degrees, what is the measure of the exterior angle?

135 degrees.