A right angle is formed by two adjacent angles with measures of (x) degree and (x+30) degree. What are the two angle measures?
A. 70 degree and 25 degree
B. 30 degree and 60 degree
C. 75 degree and 105 degree
D. 60 degree and 90 degree
The sum of the measures of two adjacent angles forming a right angle is 90 degrees.
Let the measure of the first angle be x degrees.
The measure of the second angle is (x+30) degrees.
Therefore, we have the equation:
x + (x+30) = 90
Simplifying the equation:
2x + 30 = 90
Subtracting 30 from both sides:
2x = 60
Dividing both sides by 2:
x = 30
So, the measure of the first angle is 30 degrees, and the measure of the second angle is (30+30) = 60 degrees.
Therefore, the two angle measures are 30 degrees and 60 degrees.
The answer is option B.