Question
In a certain triangle, the measures of $\angle A$ and $\angle B$ are $(6 k-8)^{\circ}$ and $(7 k-$ 45) $^{\circ},$ respectively. If $\frac{\sin \angle A}{\cos \angle B}=1$, what is the value of $k ?$
Step 1
This implies that $\sin \angle A = \cos \angle B$. This is only possible when angles A and B are complementary. Show more…
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