The figure shows an angle with a measure of 52 degrees.
A. Find the complement of the angle shown.
B. Find the supplement of the angle shown.
Show all your work.
complementary angles add to 90
supplementary angles add to 180
@oobleck means subtract 180 by 52 and subtract 90 by 52.
rest in peace people who didn't know in 2021 the answer is (idk)
tell me why
To find the complement and supplement of an angle, we need to understand their definitions.
A. The complement of an angle is the angle that, when added to the given angle, will result in a sum of 90 degrees.
B. The supplement of an angle is the angle that, when added to the given angle, will result in a sum of 180 degrees.
To find the complement of the given angle (52 degrees):
1. Subtract the given angle from 90 degrees.
90 degrees - 52 degrees = 38 degrees
Therefore, the complement of the given angle is 38 degrees.
To find the supplement of the given angle (52 degrees):
1. Subtract the given angle from 180 degrees.
180 degrees - 52 degrees = 128 degrees
Therefore, the supplement of the given angle is 128 degrees.
Work for A:
Complement = 90 - 52 = 38 degrees
Work for B:
Supplement = 180 - 52 = 128 degrees