Question

Find the measure of a complementary angle, a supplementary angle, and a vertical angle for the following measures. • m(

Answer 1

Lets start from the definitions:

Complementary (C) is the angle that, once you add it, the result will be 90°;

Suplementary (S) is the angle that, once you add it, the result will be 180°;

Vertical (V) is the oposite angle when two lines cross each other. They will be the same.

From this, we can calculate for the first angle (m(Complementary:$C_A+23=90\rightarrow C_A=90-23=67\degree$Suplementary:$S_A+23=180\rightarrow S_A=180-23=157\degree_{}$Vertical:$V_A=23\degree$--------------------- And now, we calculate for the second angle -------------------------

Complementary:

$C_B+y=90\degree\rightarrow C_B=90\degree-y\degree$

Suplementary:

$S_B+y=180\rightarrow S_B=180\degree-y\degree$

Vertical:

$V_B=y\degree$