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Given mn, find the value of x.

x = 117°

Step-by-step explanation:

x and 63° are "Same Side Exterior Angles". These angles are supplementary.

Hence: x + 63 = 180

x = 180 - 63

x = 117°

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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