we know that
In the right triangle ABC
∠\(A+\)∠\(B=90\) ------> by complementary angles
so
Step \(1\)
Find the measure of angle B
we know that
\(tan\ B=\frac{opposite\ side\ angle\ B}{adjacent\ side\ angle\ B}\)
in this problem
\(opposite\ side\ angle\ B=7in\\ adjacent\ side\ angle\ B=5in\)
so
\(tan\ B=\frac{7}{5} \\ \\ B=arc\ tan\frac{7}{5} \\ \\ B=54.5\ degrees\)
Step \(2\)
Find the measure of angle A
\(A+B=90\\ A=90-B\\ A=90-54.5\\ A=35.5\ degrees\)
therefore
the answer is the option
35.5° and 54.5°
