Question

the figure shows a line intersecting two parallel lines. what is the value of x?

Explanation:

Step1: Identify angle - relationship

$x$ and $46^{\circ}$ are supplementary angles.

Step2: Use supplementary - angle formula

$x + 46^{\circ}=180^{\circ}$, so $x = 180^{\circ}-46^{\circ}$.

Step3: Calculate value of $x$

$x = 134^{\circ}$

Answer:

$134$