Question

An angle measures 6° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Answer:

42 degrees, and 48 degrees

Step-by-step explanation:

set up an equation to find x, the first angle measure

(x+6)+x=90

then simplify:

2x+6=90

2x=84

x=42

So, the first angle measure is 42, now to find the second angle measure, add 6 to 42, and you will get 48.

Answer 2

Answer:

42° and 48°

Step-by-step explanation:

Complementary angles add up to 90°.

So we have one angle x and the other angle x+6 which when added together will equal 90°.

x + x + 6 = 90

2x + 6 = 90

      -6    - 6

2x = 84

Divide both sides by 2

2x/2 = 84/2

x = 42

So one angle = 42°, and the other angle = 42° + 6° = 48°.