Question

An angle measures 83∘. Find a. its supplement and b. its complement.

Answer 1

Let

A = Angle (83°)

S = Supplement of A

C = Complement of A.

1) Finding the Supplement of A.

Supplementary angles are the angles whose sum is equal to 180°.

Then,

A + S = 180

Substituting A, we can find S.

83 + S = 180

S = 180 - 83

S = 97°

2) Finding the Complement of A.

Complementary angles are the angles whose sum is equal to 90°.

Then,

A + C = 90

83 + C = 90

C = 90 - 83

C = 7 °C.

Answer:

Supplement = 97 °C

Complement = 7 °C