Question

Given δABC, what is the measure of angle B? Triangle ABC with angle A measuring 52 degrees and angle C measuring 57 degrees and side BC measuring 9. a. B = 10.799 b. B = 9.579 c. B = 8.676 d. B = 7.501

Answer 1

To find the measure of angle B in triangle ABC, we subtract the sum of the given angles A and C from 180 degrees, resulting in an angle B of 71 degrees, which is not listed in the provided options.

Step-by-step explanation:

The student is asked to find the measure of angle B in triangle ABC. To find this, we can use the fact that the sum of angles in any triangle equals 180 degrees. Given angles A and C are 52 degrees and 57 degrees respectively, we can calculate angle B by subtracting the sum of angles A and C from 180 degrees.

Angle B = 180 - Angle A - Angle C = 180 - 52 - 57 = 71 degrees.

Therefore, none of the options (a) 10.799, (b) 9.579, (c) 8.676, or (d) 7.501 corresponds to the correct measure of angle B. Angle B is 71 degrees.

Answer 2

To find the measure of angle B in triangle ABC, subtract angles A and C from 180 degrees.

Step-by-step explanation:

To find the measure of angle B in triangle ABC, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Given that angle A measures 52 degrees and angle C measures 57 degrees, we can find the measure of angle B as follows:

Angle B = 180 degrees - angle A - angle C = 180 degrees - 52 degrees - 57 degrees = 71 degrees.

Therefore, the measure of angle B in triangle ABC is 71 degrees.