Respuesta :
Answer:
complement is 78°, supplement is 168°
Step-by-step explanation:
Part 1) Find the measure of the complement
we know that
If two angles are complementary, then their sum is equal to 90 degrees
Let
C ----> the complement of the given angle
we have
[tex]m\angle G=12^o[/tex]
so
[tex]m\angle G+m\angle C=90^o[/tex]
substitute
[tex]12^o+m\angle C=90^o[/tex]
[tex]m\angle C=90^o-12^o=78^o[/tex]
Part 2) Find the measure of the supplement
we know that
If two angles are supplementary, then their sum is equal to 180 degrees
Let
S ----> the supplement of the given angle
we have
[tex]m\angle G=12^o[/tex]
so
[tex]m\angle G+m\angle S=180^o[/tex]
substitute
[tex]12^o+m\angle S=180^o[/tex]
[tex]m\angle S=180^o-12^o=168^o[/tex]
Step-by-step explanation:
Angle = 12⁰
Complement = 90 - 12 = 78⁰
Supplement = 180 - 12 = 168⁰