P.2 Find measures of complementary, supplementary, vertical, and adjacent angles

Question

R2B
The measure of an angle is 145.6°. What is the measure of its supplementary angle?

°

Answer 1

To find the supplementary angle of an angle measuring 145.6°, you can use the following relationship:

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

So, to find the measure of the supplementary angle, subtract the given angle from 180°:

\[ \text{Supplementary angle} = 180° - \text{Given angle} = 180° - 145.6° \]

\[ \text{Supplementary angle} = 34.4° \]

Therefore, the measure of the supplementary angle is 34.4°.