a eight angle is formed by two adjacent angles with measures of (x) degrees and (x + 30) degrees. what are the two angle measures?
If the two adjacent angles form an eight angle, the sum of their measures must be 180 degrees.
Let x be the measure of the first angle.
Therefore, the measure of the second angle is x + 30 degrees.
Since their sum is equal to 180 degrees, we can write the equation:
x + (x + 30) = 180
Simplifying the equation, we have:
2x + 30 = 180
Subtracting 30 from both sides, we get:
2x = 150
Dividing both sides by 2, we have:
x = 75
Therefore, the measure of the first angle is 75 degrees and the measure of the second angle is 75 + 30 = 105 degrees.