Find remaining parts of each triangle.

Question

In △ABC, m∠A=α, m∠B=β , m∠C=γ. AB=c , AC=b , BC=a. Find the remaining parts of each triangle if the following parts are given.

a =63.8, β =58.5º, γ =22.0º

Answer 1

You are given two angles of the triangle so you can find the 3rd and then use the Law of Sines.

α = 180-(58.5+22)

Then 63.8/sinα = c/sin22 = b/sin58,5.