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RideAnS [48]
3 years ago
14

Solve for the measure of each angle. Trigonometry.

Mathematics
1 answer:
ycow [4]3 years ago
5 0

Answer:

∠A=26º

∠B=137º

∠C=17º

Step-by-step explanation:

We can use the Law of Cosines because we have all 3 side lengths.

cosA = b^2+c^2-a^2/2bc

cosA=28^2+12^2-18^2 / 2(28)(12)

cosA=604/672

cos-1(604/672

angle A ≈ 26º

cosB =  c^2+a^2-b^2/2ca

cosB=-316/432

cos-1(-316/432

angle B ≈ 137º

26+137=163

180-163=17

angle C ≈ 17º

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From here, we then know that,

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