Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

elect the correct answer. which statement is the contrapositive of p? p…

Question

elect the correct answer.
which statement is the contrapositive of p?
p: if two angles are complementary, then the sum of their measures is 9
a. if two angles arent complementary, then the sum of their measur
b. if the sum of the measures of two angles isnt 90°, then they are n
c. if two angles arent complementary, then the sum of their measur
d. if the sum of the measures of two angles is 90°, then they are cor

Explanation:

Brief Explanations

A contrapositive of a statement "If \(A\), then \(B\)" is "If not \(B\), then not \(A\)". For the given statement \(p\): "If two angles are complementary (\(A\)), then the sum of their measures is \(90^\circ\) (\(B\))", the contrapositive swaps and negates both parts: "If the sum of the measures of two angles isn't \(90^\circ\) (not \(B\)), then they are not complementary (not \(A\))".

Answer:

B. If the sum of the measures of two angles isn’t \(90^\circ\), then they are not complementary