Need with 7. and 8. show your work.

Complementary angles are angles that add up to 90°

Supplementary angles are angles that add up to 180°

So with our info, we can form the equation to solve for x.

Firstly, combine like terms:

Next, subtract both sides by 2:

Lastly, divide both sides by 8 and x is going to be

Now that we have the value of x, plug that into both angles to solve for their degrees:

In short, ∠DEF is 29° and ∠FEG is 61°.

With our info, we can form the equation as to solve for x.

Firstly, combine like terms:

Next, subtract 10 from both sides of the equation:

Lastly, divide both sides by 17, and the x value is going to be

Now replace the x value with 10 to solve for the angles:

In short, ∠DEF is 91° and ∠FEG is 89°

step-by-step explanation: