The intersection of roads P and Q creates a 71° angle. What are the complementary and supplementary angles of this intersection?
A. The complementary angle is 71° and the supplementary angle is 29°.
B. The complementary angle is 29° and the supplementary angle is 71°.
C. The complementary angle is 109° and the supplementary angle is 19°.
D. The complementary angle is 19° and the supplementary angle is 109°.
AAAaannndd the bot gets it wrong yet again!
D
90 - 71 = 19
180 - 71 = 109
D
To find the complementary and supplementary angles of the given intersection, we need to understand the definitions of these terms.
Complementary angles are two angles that add up to 90 degrees. Therefore, if one angle is x degrees, its complementary angle will be 90 - x degrees.
Supplementary angles are two angles that add up to 180 degrees. Hence, if one angle is x degrees, its supplementary angle will be 180 - x degrees.
In this case, the given angle at the intersection of roads P and Q is 71 degrees.
To find the complementary angle, subtract 71 from 90:
90 - 71 = 19 degrees.
To find the supplementary angle, subtract 71 from 180:
180 - 71 = 109 degrees.
Therefore, the complementary angle is 19 degrees and the supplementary angle is 109 degrees.
The correct answer is option D: The complementary angle is 19° and the supplementary angle is 109°.