A right angle is formed by two adjacent angles with measures of (x)° and (x+30)°. What are the two angle measures?(1 point)
Responses
A. 70° and 25°
70 degrees and 25 degrees
B. 75° and 105°
75 degrees and 105 degrees
C. 30° and 60°
30 degrees and 60 degrees
D. 60° and 90°
The sum of the measures of two adjacent angles that form a right angle is always 90 degrees.
Let the measure of the first angle be x degrees. Then the measure of the second angle is (x+30) degrees.
To form a right angle, the sum of these two angles should be 90 degrees.
So we have the equation: x + (x+30) = 90.
Simplifying the equation, we get: 2x + 30 = 90.
Subtracting 30 from both sides, we get: 2x = 60.
Dividing both sides by 2, we get: x = 30.
So the first angle is 30 degrees.
Substituting this value into (x+30), we get: (30+30) = 60.
So the second angle is 60 degrees.
Therefore, the two angle measures are 30 degrees and 60 degrees.
The correct answer is: C. 30° and 60°.