A right angle is formed by two adjacent angles with measures of (x) degrees and (x + 30) degrees. What are the two angle measures?

A. 60 degrees and 90 degrees
B. 30 degrees and 60 degrees
C. 75 degrees and 105 degrees
D. 70 degrees and 25 degrees

1 answer

C. 75 degrees and 105 degrees

Since the sum of the measures of two angles forming a right angle is 90 degrees, we can set up the equation x + (x + 30) = 90. Solving for x gives x = 45. Therefore, the two angle measures are 45 degrees and 75 degrees, which is equivalent to 75 degrees and 105 degrees.