The unknown sides and angles of the triangle are 18 cm and 39 degrees respectively.
How to find the side and angle of a triangle?
The side and angle of a triangle can be found as follows:
using sine law,
Angle A = 180 - 68 - 59 = 53 degrees
19.5 / sin 59 = a / sin 53
19.5 sin 53 = a sin 59
a = 19.5 sin 53 / sin 59
a = 15.5733924459 / 0.8571673007
a = 18.1680280047
a = 18 cm
15 / sin ∅ = 20 / sin 57
15 sin 57 = 20 sin ∅
sin ∅ = 12.5800585192 / 20
sin ∅= 0.62900292595
∅ = sin ⁻¹ 0.62900292595
∅ = 38.9763828249
∅ = 39 degrees.
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