Using the law of detachment, the conclusion we can draw from the two given statements is: C. m∠E + m∠F = 90°.
What is the Law of Detachment?
The law of detachment states that, if two statements are true, a third statement that is true can be derived also.
From the information given, we have:
First statement: If 2 angles are complementary, then their sum equals 90 degrees (If p, then q).
Second statement: Angles E and F are complementary (p).
The third true statement (q) would be:
m∠E + m∠F = 90°. (option C)
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