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.
An obtuse angle is one over 90 degrees. If you are looking for the supplement it means that both angles have to equal 180 degrees. So the supplement of an obtuse angle would be an acute angle.
No :) Because one angle of the triangle is always acute and so the exterior has to be obtuse.
The measure of the obtuse angle would then be double that of the acute angle.
They will be acute angles.
Obtuse. An acute angle is less than 90 degrees, a right angle is 90 degrees, and an obtuse angle is more than 90 degrees.
No, it must be obtuse.
Obtuse Angle
obtuse
yes. the supplement adds to the acute angle to make 180 degrees. An acute angle is less than 90 degrees. Example: acute angle is 30 degrees. 180-30 is 150, which is obtuse.
An obtuse angle is one over 90 degrees. If you are looking for the supplement it means that both angles have to equal 180 degrees. So the supplement of an obtuse angle would be an acute angle.
No, because if there is on obtuse angle the triangle will always be obtuse.
no
No, because if there is on obtuse angle the triangle will always be obtuse.
No :) Because one angle of the triangle is always acute and so the exterior has to be obtuse.
No. Because twice an acute angle is 60 degrees and an obtuse angle is 120 degrees. So the answer is no
If one angle is the supplement of another, we know that their sum is 180 degrees.So let one angle be A and the supplement be B. We know the measure of A+B=180.If A is acute that means its measure is less than 90 degrees. The supplement must therefore have measure more than 90 degrees. We could say the supplement of an acute angle must be an obtuse angle. Remember obtuse angle is one that less than 180 degrees and more than 90.
If x is acute, then x < 90 and -x > -90. Adding 180 to both sides, 180-x > 90, i.e. the supplement of x is obtuse.