0
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.
Add your answer:
Earn +20 pts
What is the supplement of an acute angle?
To find the supplement of an acute angle, do the following. Supplements must add to 180 degrees, therefore: x=the measure of the acute angle 180-x is the equasion to find the supplement Good Question!
If a triangle has one acute angle is the triangle necessarily acute?
No, an acute triangle must have all 3 angles under 90 degrees. A triangle can have an acute angle and still be a right triangle or an obtuse triangle.
If an angle is not acute straight or obtuse it must be what?
It could be a right angle or a reflex angle
What is a 17 degree angle?
An acute angle
What angle is smaller than a right angle?
acute angle
Is the supplement of an acute angle acute?
No, it must be obtuse.
The supplement of an acute angle must be an what type angle?
obtuse
What is the supplement of an acute angle?
To find the supplement of an acute angle, do the following. Supplements must add to 180 degrees, therefore: x=the measure of the acute angle 180-x is the equasion to find the supplement Good Question!
What kind of angle is the supplement of an acute angle?
Obtuse Angle
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.
Is the supplement of an acute angle a obtuse angle?
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.
Is it possible for an acute angle to have both a complement and a supplement?
yes complement is 90-angle and supplement 180-angle
Explain Why an angle that is supplementary to an acute angle must be an obtuse angle?
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.
What is the supplement of 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.
If an acute angle is supplementary it is always sometimes or never acute?
Supplementary angles total 180o. If one of the angles is acute it is less than 90o so its supplement must be greater than 90o, so it can never be acute.
Is the complement of an acute angle an acute angle?
A complement of an acute angle must be an acute angle. An acute angle is an angle whose measure is more than 0 degrees but less than 90 degrees. For example, even if the angle was the minimum 1 degree, the complement is still 89 degrees, which is still acute. Therefore, any combination of a complement of an acute angle MUST be acute.
If two angles of a triangle are acute must the the third angle always be acute?
No. In fact, if one of the angles is not acute (a right angle or obtuse), the other two must be acute.
