Given:
Given that the two legs of the triangle are 3 and 4.
The one of the angles of the triangle is x.
We need to determine the measure of x.
Measure of x:
The measure of x can be determined using the trigonometric ratio.
Thus, we have;
[tex]tan \ x=\frac{opp}{adj}[/tex]
where the side opposite to the angle x is 4 and the side adjacent to the angle x is 3.
Substituting these values, we get;
[tex]tan \ x=\frac{4}{3}[/tex]
[tex]tan \ x=1.33[/tex]
[tex]x=tan^{-1}(1.33)[/tex]
[tex]x=53.06[/tex]
Rounding off to the nearest degree, we get;
[tex]x=53^{\circ}[/tex]
Thus, the measure of x is 53°