Introduction to Geometry: Rays and Angles

Supplementary and Complementary Angles

There are two special types of angles.  These two special angles are straight angles and right angles.

A straight angle is an angle whose measure is 180°.


As you can see, angle A B C below is a straight angle because it opens to form a straight line.

line containing the points A, B and C, in that order

When two angles make a straight angle when placed next to each other, the sum of the two angles is 180°. They are called supplementary angles.


Supplementary angles can be adjacent (sharing a common side) or non-adjacent (not sharing a common side).

angle A B C and angle D E F which appear to make a straight line when put next to each other

Angles ABC and DEF are non-adjacent supplementary angles



An angle whose measure is 90° is called a right angle.

angle D E F below is a right angle.

right angle D E F

When two angles make a right angle when placed next to each other, the sum of the two angles is 90°.  They are called complementary angles.


= right angle H G K with ray G J in the middle

angle H G J and angle K G J are adjacent, complementary angles.