Middle School

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------------------------------------------------ The intersection of roads M and N creates a 41.4° angle. What are the complementary and supplementary angles of this intersection?

A. The complementary angle is 48.6° and the supplementary angle is 138.6°
B. The complementary angle is 79.8° and the supplementary angle is 97.2°
C. The complementary angle is 138.6° and the supplementary angle is 48.6°
D. The complementary angle is 97.2° and the supplementary angle is 79.8°

Answer :

A is the correct answer because complementary means 90 degrees... 90-41.4= the complimentary angle of 48.6... Supplementary means 180 so 180-41.4= the supplementary angle of 138.6

A. The complementary angle is 48.6° and the supplementary angle is 138.6°.

To solve the problem of finding the complementary and supplementary angles of the given 41.4° angle, let's start by defining what complementary and supplementary angles are.

  1. Complementary angles are two angles that add up to 90°. To find the complementary angle of 41.4°, we can use the formula:

[tex]90\° - 41.4\° = 48.6\°[/tex]

  1. Supplementary angles are two angles that add up to 180°. To find the supplementary angle of 41.4°, we can use the formula:

[tex]180\° - 41.4\° = 138.6\°[/tex]

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