In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work.

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.

Cool

Step-by-step explanation:

A. The measure of angle x

The sum of angles in a triangle is 180°

so to get angle x (which is the unknown angle)

62° + x = 180° (62° goes to the other side)

+x = 180° - 62°

x = 118°.

B. The sum of angles in a triangle is 180°, so we subtracted the lower angle from the total angle to get the missing angle

PROOF: 62° + 118° = 180°

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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