Solve for the measure of each angle. Trigonometry.
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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 = [tex]b^2+c^2-a^2/2bc[/tex]
cosA=28^2+12^2-18^2 / 2(28)(12)
cosA=604/672
cos-1(604/672
angle A ≈ 26º
cosB = [tex]c^2+a^2-b^2/2ca[/tex]
cosB=-316/432
cos-1(-316/432
angle B ≈ 137º
26+137=163
180-163=17
angle C ≈ 17º