9514 1404 393
Answer:
5) 25.9°
6) 40.8°
7) 42.0°
8) 20.9°
Explanation:
The law of sines tells you that for long side x and shorter side y, with angle X opposite side x, the measure of angle Y is ...
sin(Y)/y = sin(X)/x
sin(Y) = y/x·sin(X)
Y = arcsin(y/x·sin(X))
__
5) C = arcsin(10/15·sin(41°)) ≈ 25.9°
6) B = arcsin(7/10·sin(111°)) ≈ 40.8°
7) B = arcsin(26/36·sin(112°)) ≈ 42.0°
8) A = arcsin(14/30·sin(50°)) ≈ 20.9°
_____
For repetitive calculations, I like to let a graphing calculator or spreadsheet do them.