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If ∠a is complementary to ∠b, and ∠c is complementary to ∠b, what can you conclude about ∠a and ∠c?

A. They are supplementary angles.
B. They are congruent angles.
C. They are complementary angles.
D. They are vertical angles.

Answer :

Final answer:

Complementary angles are two angles whose measures add up to 90 degrees, while supplementary angles are two angles whose measures add up to 180 degrees. Therefore, ∠a and ∠c are supplementary angles.

The correct answer is A.

Explanation:

Complementary angles are two angles whose measures add up to 90 degrees, while supplementary angles are two angles whose measures add up to 180 degrees.

Since ∠a and ∠c is both complementary to ∠b, it means that the sum of ∠a and ∠b is 90 degrees, and the sum of ∠c and ∠b is also 90 degrees. Therefore, ∠a and ∠c are supplementary angles.

The correct answer is (a) They are supplementary angles.

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