Question

A and B are supplementary angles. If mA = (3x - 28)° and

m/B = (x − 4)°, then find the measure of A.

Answer 1

Answer:m∠A=33

Explanation:

Answer 2

A = 131°

Explanation:

Supplementary angles sum 180°

A + B = 180°

(3x - 28) + (x - 4) = 180

4x - 28 - 4 = 180

4x - 32 = 180

4x = 180 + 32

4x = 212

x = 212/4

x = 53

Then:

A = 3x - 28

A = 3*53 - 28

A = 159 - 28

A = 131°

B = x - 4

B = 53 - 4

B = 49°

Check:

131° + 49° = 180°