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An angle measures 31 degrees What is the measure of its supplement?
A supplement of an angle is the angle that we add to the initial angle and have a result of 180 degrees. The supplement of 31 degrees is 180-31=149 degrees.
What is the complement of the supplement of 80?
The question asks for the complement of (the supplement of (80 degrees) ). We have to find the supplement of 80 first, and then find the complement of the supplement. The supplement of an angle is (180 - the angle). The complement of an angle is (90 - the angle). The supplement of 80 degrees is (180 - 80) = 100 degrees. The complement of that supplement is (90 - 100) = -10 degrees.
What is the supplement of 75 degree angle?
The supplement of a 75-degree angle is the angle that, when added to 75 degrees, equals 180 degrees (a straight line). To find the supplement of a given angle, you subtract the given angle from 180 degrees. Therefore, the supplement of a 75-degree angle is 105 degrees.
What is the supplement of the complement of a 38 degrees angle?
The supplement of an angle is the angle that, when added to the original angle, equals 180 degrees. The complement of an angle is the angle that, when added to the original angle, equals 90 degrees. Therefore, the supplement of the complement of a 38-degree angle would be the angle that, when added to the complement of 38 degrees (52 degrees), equals 180 degrees. This angle would be 128 degrees.
Why is the supplement of an acute angle always obtuse?
An acute angle is an angle that is between 0 and 90 degrees. The supplement of the angle is 180 degrees minus the magnitude of the angle. Since the original angle is greater than 0 degrees, the supplement must be less than 180-0 = 180 degrees. Since the original angle is less than 90 degrees, the supplement must be greater than 180-90 = 90 degrees. Thuis, the supplement measures between 90 and 180 degrees - that is, it is an obtuse angle.
