Question

Given the following angle measurements, tell whether each pair is complementary, supplementary, or neither.

a. 12° and 68°
b. 95° and 85°
c. 43° and 48°
d. 70° and 20°

Answer 1

A) 12° + 68° = 80 neither.

B) 95°+ 85° = 180° ( Supplementary angles)

C) 43° + 48° = 91° ( neither)

D) 70°+ 20° = 90° ( Complimentary angles).

Explanation:

Given : Angles .

To find : measurements, tell whether each pair is complementary, supplementary, or neither.

Solution : We have given angles.\

Complimentary angles: The sum of two angles is 90°

Supplementary angles: When the sum of two angle is 180

A) 12° + 68° = 80 neither.

B) 95°+ 85° = 180° ( Supplementary angles)

C) 43° + 48° = 91° ( neither)

D) 70°+ 20° = 90° ( Complimentary angles).

Therefore, A) 12° + 68° = 80 neither.

B) 95°+ 85° = 180° ( Supplementary angles)

C) 43° + 48° = 91° ( neither)

D) 70°+ 20° = 90° ( Complimentary angles).

Answer 2

Complementary angles are those angles whose sum of the measures of angles is 90 degrees.

Supplementary angles are those angles whose sum of the measures of angles is 180 degrees.

Let us consider the first pair of angles,

1.
`12^\circ , 68^\circ`

`12^\circ + 68^\circ = 80^\circ`

Therefore, it is neither a pair of complementary angles nor supplementary angles.

2.
`95^\circ , 85^\circ`

`95^\circ + 85^\circ = 180^\circ`

Therefore, it is a pair of supplementary angles.

3.
`43^\circ , 48^\circ`

`43^\circ + 48^\circ = 91^\circ`

Therefore, it is neither a pair of complementary angles nor supplementary angles.

4.
`70^\circ , 20^\circ`

`70^\circ + 20^\circ = 90^\circ`

Therefore, it is a pair of complementary angles.