find the measure of a complement and the supplement of an angle with measure of 50 degrees.

The measure of the complement of the angle is 40 degrees (90 - 50 = 40).

The measure of the supplement of the angle is 130 degrees (180 - 50 = 130).

To find the measure of a complement and the supplement of an angle with a measure of 50 degrees, follow these steps:

1. Complement: The complement of an angle is the angle that, when added to the given angle, sums up to 90 degrees.

To find the complement, subtract the given angle from 90 degrees:
Complement = 90 degrees - 50 degrees
Complement = 40 degrees

2. Supplement: The supplement of an angle is the angle that, when added to the given angle, sums up to 180 degrees.

To find the supplement, subtract the given angle from 180 degrees:
Supplement = 180 degrees - 50 degrees
Supplement = 130 degrees

Therefore, the measure of the complement is 40 degrees, and the measure of the supplement is 130 degrees.