Q:

Suppose that angle LAP and angle LAR are adjacent angles, angle LAP= 3x +7, angle LAR = 4(x-4), And angle PAR = 2(3x+7). What can you conclude about line AL?

Accepted Solution

A:
Answer:AL is a bisectorStep-by-step explanation:LAP = 3x+ 7LAR = 4(x - 4) = 4x - 16PAR = 2(3x + 7) = 6x + 14If you see the figure I drew (something you should infer from the problem.LAP + LAR = PAR3x + 7 + 4x - 16 = 6x + 143x + 4x - 6x = 14 + 16 - 7x = 23LAP = 3 * 23 + 7 = 76LAR = 4 * 23 - 16 = 76Meaning line AL is dividing PAR into 2 equal parts