Answer:
θ (or x)=34.2° and 55.8°
or .597 and .974 radians
or 38 and 62 gradians
Step-by-step explanation:
1.) Find the angles using the trigonometry, in this case I used a tan (opposite over adjacent)
so it should look like this
[tex]tan(x)=(\frac{28}{19} )[/tex]
2.) solve for θ by isolating it from tan
[tex](tan^{-1} )tan(x)=\frac{28}{19} (tan^-1)[/tex]
3.) use that to find the rest of the triangle's angles (if order for it to be a triangle, all angles must equal to 180° or[tex]\pi[/tex] radians, or 200 gradians )
so... (using degrees)
180°-90°-55.8°=34.2°
