Question
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
129° and 51°
129 degrees and 51 degrees
121° and 59°
121 degrees and 59 degrees
186° and 88°
186 degrees and 88 degrees
125° and 55°
Responses
129° and 51°
129 degrees and 51 degrees
121° and 59°
121 degrees and 59 degrees
186° and 88°
186 degrees and 88 degrees
125° and 55°
Answers
Answered by
GPT 3.5
To find the measures of the two angles, we need to set up an 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 this value of x into the expressions for the angles:
Angle 1 = (2x+3)° = (2(61)+3)° = 125°
Angle 2 = (x-6)° = (61-6)° = 55°
Therefore, the measures of the two angles that make up the straight line are 125° and 55°.
(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 this value of x into the expressions for the angles:
Angle 1 = (2x+3)° = (2(61)+3)° = 125°
Angle 2 = (x-6)° = (61-6)° = 55°
Therefore, the measures of the two angles that make up the straight line are 125° and 55°.
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