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
30° and 60°
30 degrees and 60 degrees
70° and 25°
70 degrees and 25 degrees
75° and 105°
75 degrees and 105 degrees
60° and 90°
Let's solve this problem algebraically.
We know that a right angle measures 90°. So, we can set up the following 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, one angle measures x°, which is 30°, and the other angle measures (x + 30)°, which is:
30 + 30 = 60°
Therefore, the two angle measures are 30° and 60°.