Question

If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______.

142°55'
52°15’
52°55’
142°15'

Answer 1

∠B = 142 .15'

Step-by-step explanation:

Given : If ∠A and ∠B are supplementary and m∠A = 37°45',

To find : m∠B = ______.

Solution : We have given that ∠A and ∠B are supplementary.

We know that sum of two supplementary angle is 180 degree.

Then ∠A + ∠B = 180°

We have given m∠A = 37°45',

Plugging the value of angle A

37°45'+ ∠B = 180°

On subtracting by 37°45' both sides

∠B = 180° - 37°45'

Now convert the 45' in to degree

45' = 0.75 degree

Then 37° + 0.75° = 37.75°

∠B = 180° - 37.75°

∠B = 142 .25 °

We need our answer in degree and mint

1° = 60'

0.25° =15'

∠B = 142 .15'

Therefore, ∠B = 142 .15'

Answer 2

Answer: 142°15'

Step-by-step explanation:

Supplementary angles are angles that add up to make a straight angle (
`180^(\circ)`).

Therefore, we must find the angle ∠B such that

∠A + ∠B = 180° (1)

We know that ∠A = 37°45', so we can re-arrange equation (1) to find the magnitude of ∠B:

∠B = 180° - ∠A = 180° - 37°45' = 142°15'

So, the correct answer is

142°15'