Angle F and angle G are complementary . The measure of angle F is three times the measure of angle G. What is the measure of each angle?

= 22.5°

= 67.5°

Step-by-step explanation:

Let’s create a system of equations for and .

Complementary angles are two angles that add up to 90°, so

Also, is thrice of g:

We can now substitute in for .

Now, we can find by substituting into either equation.

Hope this helped!

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2