Question

This is a 2 step question. Answer the question using the first image and then the second question on the second image.

Answer 1

see below

Explanation:

use the tringle KLM to get the side length

• use the law of sines
• sin 37 = sin 68

8 KL

• cross multiply: KL(sin 37) = 8 (sin 68)

• KL = 12.325 = GJ

side LM:

• ∠K + 37 + 68 = 180
• ∠K = 75

• sin 37 = sin 75

8 LM

• cross multiply: LM (sin 37) = 8 (sin 75)
• LM = 12.84 = GH

KM = 8

KL = 12.325

LM = 12.84

solve for x:

• since KM is congruent to HJ
• KM = JH
• 8 = 2x - 12
• 8 + 12 = 2x
• x = 20 / 2
• x = 10