Answer
$$A=52.6°$$
$$B=37.4°$$
Work Step by Step
Find angle A.
We can use the trigonometric function for sine to find angle A.
$sin A=\frac{a}{c}$
$sin A=\frac{0.6341cm}{0.7982cm}$
$sin A=0.7944$
Now we solve for A by multiplying both sides of the equation by the inverse sine.
So,
$sin^{-1}(sin A) = sin^{-1}(0.7944)$
$A = sin^{-1}(0.7944)$
$A=52.6°$
Find angle B.
We know that in right triangles the sum of the acute angles is 90°.
So, $A+B=90°$
Solving for $B$, we get
$B=90°-A$
$B=90°-52.6°$
$B=37.4°$
