Verified Answer :

The smallest angle would be opposite the 5 cm side
tan (angle) = 5 / 12
tan (angle) =



0.4166666667




arc tan
(



0.4166666667
) = 22.62 degrees

 

Answer:

The measure of the smallest angle is \(22.6\°\)

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

\(tan(A)=\frac{BC}{AB}\)

substitute

\(tan(A)=\frac{12}{5}\)

\(A=tan^{-1}(\frac{12}{5})= 67.4\°\)

Find the measure of angle C

Remember that

\(m ------> by complementary angles

\(m

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