Question

Hello!

I am here with a few geometry questions today.

What would x equal?
You are given the options:
63
64
65
66
When you answer this question please be sure to explain your answer and show work.
Good luck! Have a great day!

Answer 1

• C. 65

Explanation:

As KL║JM and JL is transversal, we already have:

• ∠KLJ≅∠MJL

To satisfy AAS we need to have ∠JKL≅LMJ, therefore:

• m∠JKL = m∠LMJ
• 2x+ 18 = 3x - 47
• 3x - 2x = 18 + 47
• x = 65

Correct option is C