An angle measures 47°. What are the measures of the angle’s complement and supplement?
A. complement, 43°; supplement, 133°
B. complement, 133°; supplement, 43°
C.complement, 53°; supplement, 143°
D. complement, 143°; supplement, 53°
My answer is A, please check it
Right!
Supplementary angles are two angles that have a sum of 180°. Complementary angles are two angles that have a sum of 90°.
To find the complement of an angle, we subtract the angle from 90°.
Therefore, the complement of a 47° angle is 90° - 47° = 43°.
To find the supplement of an angle, we subtract the angle from 180°.
Therefore, the supplement of a 47° angle is 180° - 47° = 133°.
So, your answer A is correct:
complement: 43°
supplement: 133°
To find the complement of an angle, subtract the measure of the angle from 90°. To find the supplement of an angle, subtract the measure of the angle from 180°.
In this case, the angle measures 47°.
To find the complement, subtract 47° from 90°:
90° - 47° = 43°
To find the supplement, subtract 47° from 180°:
180° - 47° = 133°
Therefore, the measures of the angle's complement and supplement are 43° and 133°, respectively, which matches option A. Your answer is correct.