To solve for the measures of the two angles that make up the straight line, we can set up an equation because the sum of the angles on a straight line is 180°.
Given:
- First angle \(A = (2x + 3)°\)
- Second angle \(B = (x - 6)°\)
Thus, the equation will be:
\[ (2x + 3) + (x - 6) = 180 \]
Simplify and solve for \(x\):
\[ 2x + 3 + x - 6 = 180 \]
\[ 3x - 3 = 180 \]
\[ 3x = 183 \]
\[ x = 61 \]
Now, substitute \(x = 61\) back into the expressions for the angles:
For angle \(A\):
\[ A = 2x + 3 = 2(61) + 3 = 122 + 3 = 125° \]
For angle \(B\):
\[ B = x - 6 = 61 - 6 = 55° \]
Therefore, the measures of the two angles that make up the straight line are \(125°\) and \(55°\).
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
1 answer
1 answer