Question

3. Find the measure of the complement and the supplement of the angle.

Answer 1

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

$m\angle G=12^o$

so

$m\angle G+m\angle C=90^o$

substitute

$12^o+m\angle C=90^o$

$m\angle C=90^o-12^o=78^o$

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

$m\angle G=12^o$

so

$m\angle G+m\angle S=180^o$

substitute

$12^o+m\angle S=180^o$

$m\angle S=180^o-12^o=168^o$

Answer 2

Step-by-step explanation:

Angle = 12⁰

Complement = 90 - 12 = 78⁰

Supplement = 180 - 12 = 168⁰