Use the law of syllogism to draw a conclusion from the two given statements below.

Question

If two angles are vertical angles, then they have equal measures.

If two angles have equal measures, then they are congruent.

A. If two angles are vertical, then they are congruent.

B. Vertical angles have equal measures.

C. Angles with equal measures are vertical.

D. Congruent angles are vertical.

Answer 1

Syllogism: If A then B and If B then C are true conditionals, then if A then C is a true conditional.

A vertical angles

B equal measures

C congruent

Given if A then B and if B then C are true conditionals, thus if A then C is a true conditional

if vertical angles (A) then C (congruent) --- answer (A)