Question

The supplement of every acute angle must be:

A. an acute angle
B. a right angle
C. obtuse angle
D. a straight angle

Answer 1

The supplement of an acute angle must be an obtuse angle because it is the amount needed to supplement the acute angle to 180 degrees.

Step-by-step explanation:

The supplement of an angle is what you would add to that angle to get a sum of 180 degrees. Since an acute angle is less than 90 degrees, the supplement of an acute angle must be more than 90 degrees but less than 180 degrees, because the sum of the two angles must be exactly 180 degrees. Therefore, the supplement of an acute angle must be an obtuse angle, which is greater than 90 degrees but less than 180 degrees.