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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.

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Q: Why is the supplement of an acute angle always obtuse?
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Related questions

Is the supplement of an acute angle acute?

No, it must be obtuse.


What kind of angle is the supplement of an acute angle?

Obtuse Angle


The supplement of an acute angle must be an what type angle?

obtuse


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.


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.


Can a triangle be obtuse and acute?

No, because if there is on obtuse angle the triangle will always be obtuse.


Is obtuse angle bisected the resulting angle are always acute?

no


Can a triangle be both acute and obtuse?

No, because if there is on obtuse angle the triangle will always be obtuse.


Is an exterior angle of a triangle always acute?

No :) Because one angle of the triangle is always acute and so the exterior has to be obtuse.


Britt says that twice an acute angle is always an obtuse angle Is she right?

No. Because twice an acute angle is 60 degrees and an obtuse angle is 120 degrees. So the answer is no


An angle that is the supplement of an acute angle must be what?

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.


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.