Answer: 77 and 103
Explanation:
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin G}{960}=\frac{\sin 69}{920}
960
sinG
=
920
sin69
Plug in values.
\sin G=\frac{960\sin 69}{920}\approx 0.9741709
sinG=
920
960sin69
≈0.9741709
Evaluate.
G=\sin^{-1}(0.9741709)\approx 76.95\approx 77^{\circ}
G=sin
−1
(0.9741709)≈76.95≈77
∘
Inverse sine and round.
\text{Quadrant II: } 180-77=103^{\circ}
Quadrant II: 180−77=103
∘
Sine is positive in quadrants 1 and 2.
\text{Check for possibility:}
Check for possibility:
No triangle's angles may add to more than 180.
69+77=146^{\circ}\leftarrow \text{Possible}
69+77=146
∘
←Possible
Less than 180.
69+103=172^{\circ}\leftarrow \text{Possible}
69+103=172
∘
←Possible