High School

The intersection of roads S and T creates a 44.4° angle. What is the complementary angle?

A) The complementary angle is 22.2° and the supplementary angle is 55.6°
B) The complementary angle is 55.6° and the supplementary angle is 22.2°
C) The complementary angle is 45.6° and the supplementary angle is 135.6°
D) The complementary angle is 135.6° and the supplementary angle is 45.6°

Answer :

Two angles are complementary when their sum is 90 degrees and supplementary when their sum is 180 degrees

Thus for angle 44.4 degrees, the complementary is 90 - 44.4 = 45.6 and the supplementary is 180 - 44.4 = 135.6

Therefore, the complementary angle is 45.6 and the supplementary angle is 135.6

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