Question

Two parallel lines are cut by a transversal, as shown below.x + 403xWhat is the solution when solved for x, and why?=10, because alternate interior angles are equal Therefore, c +40 = 3.= 20, because alternate interior angles are equal. Therefore 240 = 30x= 35, because alternate interior angles are supplemental. Therefore, t.40 3.0 = 180.I=80, because alternate interior angles are supplemental. Therefore, o+ 40 + 30 = 180.

Answer 1

we have:

$x+40=3x$

because they are alternate angles, i.e., they have equal measure, then solve for x:

$\begin{gathered} x+40-x=3x-x \\ 40=2x \\ \frac{40}{2}=\frac{2x}{2} \\ x=20 \end{gathered}$

therefore answer is the second one