Answer:
x = -10
Explanation:
1) A line creates a 180° angle on each side of it. Even if another line intersects it, we know that the total measure of angles on that side will equal 180°.
2) We set the equations equal to 180.
(-4x) + (-14x) = 180
Combine like-terms
-18x = 180
Isolate x by dividing both sides by -18.
x = -10
3) To solve for each angle, you can plug in -10 for x and solve.
-4(-10) = 40°
-14(-10) = 140°