A right angle is formed by two adjacent angles with measures of (x)° and (x+30)° . What are the two angle measures?(1 p
To form a right angle, the sum of the two adjacent angles must be 90 degrees.
Let's assume the first angle has a measure of x degrees.
The second angle has a measure of (x+30) degrees.
To find the angle measures, we set up the equation:
x + (x+30) = 90
Combining like terms:
2x + 30 = 90
Subtracting 30 from both sides:
2x = 60
Dividing both sides by 2:
x = 30
The first angle measures 30 degrees.
Substituting this value into the second angle's measure:
x + 30 = 30 + 30 = 60
The second angle measures 60 degrees.
Therefore, the two angle measures are 30 degrees and 60 degrees.