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Maths Exercices

Complementary and supplementary angles


Pairs of angles
Special Name
Definition
Examples
Complementary angles
Two angles whose measures have a sum of 90
Supplementary angles
Two angles whose measures have a sum of 180

The measure of an angle is 76°. What is the measure of a complementary angle?

Since the angles are complementary, their measures must add to 90°. Set up an equation and solve for n.

n
+ 76°
= 90°

n
+ 76°
76°
=
90° 76°

n
= 14°


The measure of the complementary angle is 14°.

The measure of an angle is 94°. What is the measure of a supplementary angle?

Since the angles are supplementary, their measures must add to 180°. Set up an equation and solve for n.

n
+ 94°
= 180°

n
+ 94°
94°
=
180° 94°

n
= 86°


The measure of the supplementary angle is 86°.

The measure of an angle is 87 °. What is the measure of a complementary angle?


Solution: º