Question

= Finding supplementary and complementary angles (a) An angle measures 35°. What is the measure of its complement? (b) An angle measures 57°. What is the measure of its supplement? measure of the complement: 11 0 measure of the supplement: X Ś ?

Answer 1

Given:

Two angle measures 35 degree and 57 degree.

Required:

Solve part A and part B.

Step-by-step explanation:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

So,

`\begin{gathered} \text{ Complementary angles add to }90^(\circ). \\ 35+?=90 \\ =55 \\ \text{ Complement measure }55^(\circ). \end{gathered}`

and

`\begin{gathered} \text{ Supplementary angles add up to }180^(\circ). \\ 57+?=180 \\ =123^(\circ) \\ \text{ Supplement measure }123^(\circ). \end{gathered}`