Answer:
[tex]\alpha = 73.301\\\theta = 16.699[/tex]
Step-by-step explanation:
You can use the tan() function to find either of the angles.
The tan function is defined as the relationship between an angle and the ratio between the leg opposite of that angle and the leg adjacent to that angle.
[tex]\tan(\alpha) = \frac{10}3\\\alpha = \tan^{-1}(\frac{10}3) \approx 73.301[/tex]
From here, [tex]\theta[/tex] can be found by subtracting [tex]\alpha[/tex]'s value from 90 to complete the sum of all of the angles in the triangle to 180, per the definition of a triangle.
[tex]\theta = 90 - \alpha = 90 - 73.301 \approx 16.699[/tex]
