Start by marking l2​ and l3​ as parallel lines. Next, because you're looking for what could be false, consider each answer choice and use POE. For (A), if l2​ and l3​ are parallel, then l4​ transects both lines and creates sets of equal angles. Allsmall angles around l4​ which are formed by l2​ or l3​ are equal, so a must be equal to e; eliminate (A). Choice (B) is based on the same set of intersecting lines; because l2​ and l3​ are parallel and l4​ transects both lines, then any big angle plus any small angle equals 180∘. Therefore, (B) must be true; eliminate it. For (C), you don't know the value of any angles, so you cannot determine if these lines are perpendicular. Since (C) could be false, choose (C). Choice (D) must be true because opposite angles created by two lines are always equal.