Question

#ihategeometrypart2 geometry makes me want to cry and cry and cry but still love math...

Answer 1

Answer:

m<IHE=44°

x=3 (possibly)

m<IEH=50°

Step-by-step explanation:

First of all, we can consider FG and EH parallel lines (because they are) and GE as the transversal. Because we can see this now, using the Alternate Interior Angles Theorem, we know two things:

<IFG is congruent to <IHE, and

<GIF is congruent to <IEH.

Using the Substitution Property of Equality, we can say that:

m<IHE is equal to 44°, and

m<IEH is equal to 50°.

To solve for x, I'm honestly not too sure if EI is congruent to IG, but I'm going to substitute it anyways.

Assuming they are equal,

2x-1=5     Add 1 to both sides.

   +1 +1

2x=6        Divide 2 on both sides.

/2  /2

x=3

Hope this helps!! Have an awesome day :)