What is the right answer​

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Explanation:

Angle B = 90 degrees, and the side opposite this is the hypotenuse AC = 10.

Angle C = 30, and the side opposite this smallest angle is AB. For now we'll call this x.

It turns out that for any 30-60-90 triangle, the hypotenuse is twice as long as the short leg. So if x is the short leg, then 2x is the hypotenuse.

Set 2x equal to the given hypotenuse 10 and solve for x

2x = 10

x = 10/2

x = 5

That makes AB = 5.

In other words, we cut the hypotenuse in half to get the length of the shorter leg.

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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