Question

How do you find either side length?

Answer 1

You add the sides lengths a

Answer 2

AB = 87.71°

BC = 82.42°

Explanation:

your calculations of the angles are correct:

m∠A = 180° - 90° - 20° = 70°

using the sine rule (see attached graphic for reference)

AB / sin ∠C = AC / sin ∠B = BC / sin ∠A

we know AC = 30, substituting the values for ∠A, ∠B and ∠C gives us:

AB / sin 90° = 30 / sin 20° = BC / sin 70°

Considering side AB:

AB / sin 90° = 30 / sin 20°

AB = (30 / sin 20°) x sin 90° = 87.71

Considering side BC:

BC / sin 70° = 30 / sin 20°

BC = ( 30 / sin 20°) x sin 70° = 82.42°

Hope this helps!