Two angles are complementary. One angle is 6 less than 2 times the other angle. Find both angles. Separate angle measures with a comma: smaller angle, larger angle.

Answer 1

Complementary angles add up to 90°.

So we can say angle1 + angle2 = 90°

angle1 is 6 less than 2 times angle2, If we made this into an equation we would have angle1 = 2*angle2 − 6.

We can then subsitute this equation into the underlined equation above. So we will have...

(2*angle2 − 6) + angle2 = 90

2*angle2 + angle2 = 90 + 6 = 96. ....... added 6 to both sides of the equation

3*angle2 = 96

angle2 = 96÷3 = 32 ........ divided by 3 on both sides of the equation.

Now we know angle2 = 32°, and angle1 = 90° − angle2, which is 90° − 32°

So angle1 = 58°

The final answer will be 32°, 58°

Answer 2

Two angles are complementary:

m∠1 + m∠2 = 90º

Let m∠1 = x. The other angle (2) is 6 less than two times the first angle (1): m∠2 = 2x - 6.

m∠1 + m∠2 = 90º

x + 2x - 6 = 90

3x - 6 = 90

Solve for x.