What are all the angle measures for right triangle ABC?

Answer:
[tex] \alpha = 60°,\:\beta = 30°, \: 90°[/tex]
Step-by-step explanation:
[tex]Arccos( \frac{ \sqrt{3} }{2} ) = \beta \\ Arccos( \cos \: 30 \degree ) = \beta \\30 \degree = \beta \\ \therefore \: \alpha = 60 \degree \\ remaining \: angle = 90 \degree \\ [/tex]