A 180° angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x+3)° and the other has a measure of (x−6)°. What are the measures of the two angles that make up the straight line?(1 point)
Responses
121° and 59°
121 degrees and 59 degrees
129° and 51°
129 degrees and 51 degrees
186° and 88°
186 degrees and 88 degrees
125° and 55°
To find the measures of the two angles that make up the straight line, we need to set up an equation. We know that the sum of the two angles is equal to 180°.
So we have the equation: (2x+3) + (x-6) = 180
Combining like terms, we get: 3x - 3 = 180
Adding 3 to both sides, we get: 3x = 183
Dividing both sides by 3, we get: x = 61
Now, we can substitute x back into the expressions for the angles to find their measures.
The first angle is (2x+3), so plugging in x = 61, we get: (2(61)+3) = 125°
The second angle is (x-6), so plugging in x = 61, we get: (61-6) = 55°
Therefore, the measures of the two angles that make up the straight line are 125° and 55°.
The correct answer is: 125° and 55°