Question

What is the measure of angle C?

Answer 1

Use the law of sines....(sina/A=sinb/B=sinc/C  for any triangle)

What that means is the sine of an angle divided by the length of the side opposite the angle is a ratio that is true each angle/side pair...In this case:

sin90/122=sinc/22  rearrange to solve for sinc

sinc=(22sin90)/122  now take the arcsin to solve for c

c=arcsin[(22sin90)/122]

c≈10.388857815469611987441020361405

c≈10.39° (to nearest hundredth of a degree)