Answer:
The complement is 30°
The supplement is 120°
Step-by-step explanation:
Supplementary angles add up to 180°
Let x be the supplement of 60°, then
[tex]x + 60 = 180[/tex]
Subtract 60 from both sides of the equation to get:
[tex]x = 180 - 60 [/tex]
[tex]x = 120[/tex]
Therefore the supplement of 60° is 120°.
Complementary angles add up to 90°
Let y be the complement of 60°.
Then
[tex]y + 60 = 90[/tex]
[tex]y = 90 - 60[/tex]
[tex]y = 30[/tex]