Question

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

Answer 1

Answer: 142°15'

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'

Answer 2

Answer:

∠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'