Question

use the law of detachment to draw a conclusion from the two given statements. if two angles are complementary, then the sum of their measures is 90°. ∠e and ∠f are complementary. m∠e + m∠f = 90 m∠e ≠ m∠f ∠e is congruent to ∠f. m∠e + m∠f = 180

Explanation:

Step1: Identify the conditional statement

The conditional statement is "If two angles are complementary, then the sum of their measures is 90°".

Step2: Identify the hypothesis being true

The statement "∠E and ∠F are complementary" makes the hypothesis of the conditional statement true.

Step3: Apply Law of Detachment

By the Law of Detachment, we can conclude that the conclusion of the conditional statement holds for ∠E and ∠F. So the sum of their measures is 90°, i.e., $m\angle E + m\angle F=90$.

Answer:

$m\angle E + m\angle F = 90$