Answer:
The other two angle measures are 23 degrees and 67 degrees
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
[tex]m\angle A+m\angle C=90^o[/tex] ----> by complementary angles
[tex]sin(C)=\frac{AB}{AC}[/tex] ----> by SOH (opposite side divided by the hypotenuse)
substitute the given values
[tex]sin(C)=\frac{5}{13}[/tex]
[tex]C=sin^{-1} (\frac{5}{13})=23^o[/tex]
Find the measure of angle A
[tex]m\angle A+23^o=90^o\\m\angle A=67^o[/tex]
therefore
The other two angle measures are 23 degrees and 67 degrees
Answer:
b.) 23° and 67°
Step-by-step explanation:
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
a.) 18° and 39°
b.) 23° and 67°
c.) 43° and 47°
d.) 65° and 25°
