Question

Help with geometry hw

Answer 1

Answer:

Choose one:

ray LG

ray LI

ray LJ

Step-by-step explanation:

There are three possible correct answers in this problem.

You only need one of them, but I will give you all three, and you choose the one you prefer.

Answer 1.

Ray LG is an angle bisector.

m<KLH = 120°

m<KLG + m<GLH = m<KLH

60° + m<GLH = 120°

m<GLH = 60°

Since m<KLG + m<GLH = m<KLH, and m<GLH = m<KLG, then

ray LG is the angle bisector of <KLH.

Answer: ray LG

Answer 2.

Angles KLH and HLM are a linear pair and supplementary. Their measures add to 180°. Since m<KLH = 120°, then m<HLM = 60°.

m<HLI = 30°, so m<ILM = 30°.

That makes ray LI a bisector of angle HLM.

Answer: ray LI

Answer 3.

Since ray LI bisects <HLM, and m<HLM = 60, then m<ILM = 30°.

We are given m<JLM = 15°, so m<ILJ is also 15°. That makes ray LJ an angle bisector.

Answer: ray LJ