Answer:
Part 1) [tex]m\angle Z=tan^{-1}(\frac{14}{6})[/tex]
Part 2) [tex]m\angle Y=tan^{-1}(\frac{6}{14})[/tex]
Step-by-step explanation:
Part 1) Find the measure of angle Z
we know that
In the right triangle XYZ of the figure
The tangent of the angle Z is equal to divide the opposite side to angle Z by the adjacent side to angle Z
so
[tex]tan(Z)=\frac{XY}{XZ}[/tex]
substitute the given values
[tex]tan(Z)=\frac{14}{6}[/tex]
[tex]m\angle Z=tan^{-1}(\frac{14}{6})[/tex]
Part 2) Find the measure of angle Y
we know that
In the right triangle XYZ of the figure
The tangent of the angle Y is equal to divide the opposite side to angle Y by the adjacent side to angle Y
so
[tex]tan(Y)=\frac{XZ}{XY}[/tex]
substitute the given values
[tex]tan(Y)=\frac{6}{14}[/tex]
[tex]m\angle Y=tan^{-1}(\frac{6}{14})[/tex]
