3. Find the measure of the complement and the supplement of the angle.
m_G=129
complement is 33°, supplement is 789
complement is 789, supplement is 330
complement is 1689, supplement is 789
complement is 78°, supplement is 1689

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