A right angle is formed by two adjacent angles with measures of (x) degree and (x + 30) degree. What are the two angle measures?
Options:
70 and 25 degrees
60 and 90 degrees
75 and 105 degrees
30 and 60 degrees
In a right angle, the two adjacent angles are complementary, which means they add up to 90 degrees.
So, we have the equation:
x + (x + 30) = 90
Combining like terms, we have:
2x + 30 = 90
Subtracting 30 from both sides, we have:
2x = 60
Dividing both sides by 2, we have:
x = 30
So, the two angle measures are x = 30 degrees and x + 30 = 30 + 30 = 60 degrees.
Therefore, the correct option is 30 and 60 degrees.