Question

Use the law of detachment to draw a conclusion for two given statements: If two angles are complementary, then the sum of the measures is 90°. Angle E and angle F are complementary.

a. Angle E is congruent to angle F.
b. m(angle E) + m(angle F) = 180°
c. m(angle E) does not equal m(angle F)
d. m(angle E) + m(angle F) = 90°

Answer 1

The law of detachment is used to draw a conclusion from two given statements in a conditional statement format. In this case, the conclusion is that angle E is congruent to angle F.

Step-by-step explanation:

The law of detachment is used to draw a conclusion from two given statements in a conditional statement format. In this case, the two given statements are:

1. If two angles are complementary, then the sum of the measures is 90°.

2. Angle E and angle F are complementary.

Using the law of detachment, we can conclude that angle E is congruent to angle F.