4. Find the measures of the complement and the supplement of an angle with measure 50°. (1 point)
complement, 130°; supplement, 40°
complement, 40°; supplement, 130°
complement, 140°; supplement, 230°
complement, 230°; supplement, 140°
Well, let's see... An angle and its complement add up to 90 degrees, while an angle and its supplement add up to 180 degrees. So, if the angle has a measure of 50 degrees, its complement would be 90 - 50, which is 40 degrees. And its supplement would be 180 - 50, which is 130 degrees. So, the correct answer is complement, 40°; supplement, 130°.
To find the measures of the complement and the supplement of an angle, we need to understand their definitions.
1. The complement of an angle is the angle that, when added to the given angle, would result in a sum of 90 degrees.
2. The supplement of an angle is the angle that, when added to the given angle, would result in a sum of 180 degrees.
Given that the angle has a measure of 50 degrees, we can calculate the complement and the supplement as follows:
1. Complement:
90° - 50° = 40°
2. Supplement:
180° - 50° = 130°
Therefore, the correct answer is:
Complement: 40°
Supplement: 130°
So the answer is: complement, 40°; supplement, 130°
To find the complement of an angle, subtract the angle's measure from 90°.
Complement of 50° = 90° - 50° = 40°
To find the supplement of an angle, subtract the angle's measure from 180°.
Supplement of 50° = 180° - 50° = 130°
Therefore, the measures of the complement and supplement of an angle with measure 50° are:
Complement - 40°
Supplement - 130°
The correct answer is:
complement, 40°; supplement, 130°