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

1 answer

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.