Question

question 1-3
read the following argument
∠a and ∠b are complementary. therefore, ∠a and ∠b are congruent.
which statement below shows the correct truth - value and justification or counterexample for the argument?
true, because the two angles add to 90°
false, because both angles could equal 45°
false, because ∠a could be 30° and ∠b could be 60°
true, because the conclusion follows from the previous statement.

Explanation:

Step1: Definición de ángulos complementarios

Dos ángulos son complementarios si la suma de sus medidas es 90°. Pero ser complementarios no significa que sean congruentes (tengan la misma medida).

Step2: Análisis de counter - ejemplo

Si ∠A = 30° y ∠B = 60°, ∠A y ∠B son complementarios (30°+60° = 90°), pero no son congruentes.

Answer:

False, because ∠A could be 30° and ∠B could be 60°