Please answer and explain for brainlest!!

B. 45

Step-by-step explanation:

To solve for angle A, we need to find the value of x. First, we need to find the interior angles of the triangle. We already know 2 of them, x+57 and 63+x but we need the third one. We can do that by subtracting 96 from 180 which is 84.

So now that we have the three interior angles of the triangle, we can make an equation. We already know that the sum of interior angles of a triangle is 180.

84+(x+57)+(63+x) = 180

Simplifying, we get:

204+2x=180

2x = -24

x=-12

Plugging x = -12 into x+57 gives 45 degrees. So, the answer is B.

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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