The intersection of roads P and Q creates a 71 degree angle. What are the complementary and supplementary angles of this intersection?

A) The complementary angle is 71 degrees and the supplementary angle is 29 degrees

B) The complementary angle is 29 degrees and the supplementary angle is 71 degrees

C) The complementary angle is 109 degrees and the supplementary angle is 19 degrees

D) The complementary angle is 19 degrees and the supplementary angle is 109 degrees

Question

Madalynn Hancock

Mathematics

4 May, 18:08

The intersection of roads P and Q creates a 71 degree angle. What are the complementary and supplementary angles of this intersection?

A) The complementary angle is 71 degrees and the supplementary angle is 29 degrees

B) The complementary angle is 29 degrees and the supplementary angle is 71 degrees

C) The complementary angle is 109 degrees and the supplementary angle is 19 degrees

D) The complementary angle is 19 degrees and the supplementary angle is 109 degrees

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Answers (1)

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Trinity Lyons · Answer 1

Complementary angles have angles whose sum is 90 degrees. The ‘c’ in complementary angle can be used to form 9 in 90 degrees. Supplementary angles are angles whose sum is 180 degrees. The ‘s’ in supplementary angle can be used to form 8 in 180 degrees. If the intersection of P and Q creates a 71 degree angle, then 90 - 71 = 19 degrees is its complementary angle. Its supplementary angle is 180 - 71 = 109 degrees. The answer is D) The complementary angle is 19 degrees and the supplementary angle is 109 degrees.