THE CORRECT ANSWER IS (B). ALTHOUGH STATEMENT (1) TELLS US THE SUM...

19. The correct answer is (B). Although statement (1) tells us the sum of b and f, it tells

us nothing about their individual values or the size of the other angles. Now consider

statement (2) alone. In any triangle, the sum of the measures of the three angles is

180°. Thus, the bottom angle of the top triangle must measure 70°. Notice that

∠

ABC is

vertical to that 70° angle, which means that

∠

ABC also measures 70°. Now you have

the information you need to answer the question. Referring to

DABC, we know that c

1

d

1

70

5

180. Accordingly, the sum of c and d must be 110.