A and B are complementary angles. If A = (x+10) and B = (3x+28), then find the measure of B.

The answer to your question is B = 67°

Step-by-step explanation:

Data

Complementary angles

A = (x + 10)

B = (3x + 28)

When Complementary angles are sum up the result is 90°.

Process

1. - The sum of A + B equals 90°

A + B = 90°

2. - Substitution

(x + 10) + (3x + 28) = 90°

3. - Simplification

x + 10 + 3x + 28 = 90

4x + 38 = 90

4x = 90 - 38

4x = 52

x = 52/4

x = 13

4. - Find B

B = 3 (13) + 28

B = 39 + 28

B = 67°