Describing Pairs of Angles

Complement of <M

Find the measure of each of the following.

Supplement of <N

Find the measure of each of the following.

Name one pair of vertical angles. Do they appear to have the same measure?

Identifying Vertical Angles

Are two angles whose measures have a sum of 180 degrees. <A and <C are supplementary.

Supplementary angles

<1 and <2

Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent.

<1 and <3

Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent.

<2 and <4

Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent.

An angle measures 3 degrees less than twice the measure of its complement. Find the measure of its complement.

Using complements and supplements to solve problems

Are two angles whose measures have a sum of 90 degrees. <A and < B are complementary.

Complementary angles

Are two angles in the same plane with a common vertex and a common side, but no common interior points. <1 and <2 are adjacent angles.

Adjacent angles

A linear pair of angles is a pair of adjacent angles whose non common sides are opposite rays. <3 and <4 form a linear pair.

Linear

Another angle pair relationship exists between two angles whose sides form two pairs of opposite rays. VERTICAL ANGLES are two nonadjacent angles formed by two intersecting lines. <1 and <3 and vertical angles, as are <2 and <4.

Vertical angles