Question

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Answer 1

Answer: Choice B

angle B = 118,  a = 17, c = 18

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Explanation:

Use the given angles to find angle B.

A+B+C = 180

B = 180-(A+C)

B = 180-(30+32)

B = 118

Now use the law of sines to find side 'a'

Make sure your calculator is in degree mode.

a/sin(A) = b/sin(B)

a/sin(30) = 30/sin(118)

a = sin(30)*30/sin(118)

a = 16.9885507603356

a = 17

Follow similar steps to find side c

c/sin(C) = b/sin(B)

c/sin(32) = 30/sin(118)

c = sin(32)*30/sin(118)

c = 18.005120638611

c = 18