A 180° angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x+3)°

Question

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)

121° and 59°

129° and 51°

186° and 88°

125° and 55°

Answer 1

To find the measures of the two angles that form a straight line, we can set up the equation based on the information given about their measures:

\[ (2x + 3) + (x - 6) = 180 \]

Now, combine like terms:

\[ 2x + 3 + x - 6 = 180 \] \[ 3x - 3 = 180 \]

Next, add 3 to both sides:

\[ 3x = 183 \]

Now, divide by 3:

\[ x = 61 \]

Now we can find the measures of the two angles by substituting \(x\) back into the expressions for the angles:

1. For the first angle:

\[ 2x + 3 = 2(61) + 3 = 122 + 3 = 125° \]

2. For the second angle:

\[ x - 6 = 61 - 6 = 55° \]

So the two angles that make up the straight line are \(125°\) and \(55°\).

Therefore, the answer is:

125° and 55°.