A 180 degree angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x+3) degree and the other has a measure of (x-6) degree. What are the measures of the two angles that make up the straight line?
A. 121 degree and 59 degree
B. 125 degree and 55 degree
C. 129 degree and 51 degree
D. 186 degree and 88 degree
To find the measures of the two angles that make up the straight line, we add the two angles together and set the sum equal to 180 degrees:
(2x + 3) + (x - 6) = 180
Combining like terms:
3x - 3 = 180
Adding 3 to both sides:
3x = 183
Dividing both sides by 3:
x = 61
Now we can substitute the value of x into the expressions for the two angles:
2x + 3 = 2(61) + 3 = 122 + 3 = 125
x - 6 = 61 - 6 = 55
Therefore, the two angles that make up the straight line have measures of 125 degrees and 55 degrees.
Answer: B. 125 degree and 55 degree