Question

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

Answer 1

Answer:

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°