= 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 ?

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 s class=

Respuesta :

Given:

Two angle measures 35 degree and 57 degree.

Required:

Solve part A and part B.

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,

[tex]\begin{gathered} \text{ Complementary angles add to }90^{\circ}. \\ 35+?=90 \\ =55 \\ \text{ Complement measure }55^{\circ}. \end{gathered}[/tex]

and

[tex]\begin{gathered} \text{ Supplementary angles add up to }180^{\circ}. \\ 57+?=180 \\ =123^{\circ} \\ \text{ Supplement measure }123^{\circ}. \end{gathered}[/tex]