Question

Angles A and B are supplementary. Angle A has a measure of 80°. What is the measure of angle B?

Answer 1

B = 100°

Explanation:

Two angles are said to be supplementary if the sum of both the angles is equal to 180 degrees.

Supplementary angles do not necessarily have to be next to each other as long as they add up to 180 degrees.

In the given problem, we know that angle A = 80°. If A and are supplementary angles, then:

`A+B= 180`°

`80°+B=180`°

`B= 180°-80`°

`B=100`°

Therefore, angle B = 100°.

Answer 2

we are given

Angles A and B are supplementary

we know that when angles are supplementary

then sum of all these angles must be 180

we have

first angle is A

second angle is B

we get

`A+B=180`

now, we have

`A=80`

so, we can plug it and solve for B

`80+B=180`

Subtract both sides by 80

`80+B-80=180-80`

`B=100`.................Answer