4x-8+3x-16+95=180 or else im so confused

x = 17, see below for angle measures

Step-by-step explanation:

You're on the right track!

The sum of those two angles inside the triangle equal that opposite angle outside of the triangle. Therefore, you can set them equal to each other.

(4x - 8) + (3x - 16) = 95

Because you are adding the expressions, you can take away the parentheses without changing anything.

4x - 8 + 3x - 16 = 95

Now you want to combine like terms on the left side.

4x + 3x - 8 - 16 = 95

7x - 24 = 95

Combine like terms once again.

7x = 119

Divide to isolate x.

x = 119/7

x = 17

Plug this value back into each expression to find the angle measures.

∠HFG = 4x - 8

∠HFG = = 4(17) - 86

∠HFG = 68 - 8

∠HFG = 60º

∠FGH = 3x - 16

∠FGH = 3(17) - 16

∠FGH = 51 - 16

∠FGH = 35º

∠FHI = 95ª

∠FHG = 180 - 95

∠FHG = 85º

what is the answer?