Vertical Angles, Segment and Angle Addition

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if a point lies in the interior of an angle, the sum of the two adjacent angles formed is equal to the measure of the larger angle.

Front

What are adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

How do you calculate the measure of an angle using the Angle Addition Postulate?

Back

To calculate the measure of an angle using the Angle Addition Postulate, add the measures of the two adjacent angles that form the larger angle.

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

What is the relationship between complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is the relationship between supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If two angles are vertical angles, what can be said about their measures?

Back

If two angles are vertical angles, their measures are equal.

Front

What is the measure of an angle if it is complementary to a 70° angle?

Back

The measure of the angle is 20°, since 90° - 70° = 20°.

Front

What is the measure of an angle if it is supplementary to a 110° angle?

Back

The measure of the angle is 70°, since 180° - 110° = 70°.