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°.
The complementary angle would be 90° - 41.4° = 48.6°. The supplementary angle would be 180° - 41.4° = 138.6°. So, the answer is A.
To find the complementary angle, we subtract the given angle (41.4°) from 90° because complementary angles add up to 90°.
Complementary angle calculation: 90° - 41.4° = 48.6°
To find the supplementary angle, we subtract the given angle (41.4°) from 180° because supplementary angles add up to 180°.
Supplementary angle calculation: 180° - 41.4° = 138.6°
Therefore, the correct answer is A. The complementary angle is 48.6° and the supplementary angle is 138.6°.