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Complementary Angles

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11y ago

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Can we have two acute angles whose sum is a reflex angle?

Yes, two acute angles can have a sum that is a reflex angle. An acute angle is defined as an angle less than 90 degrees, and the sum of two acute angles will be less than 180 degrees. A reflex angle is greater than 180 degrees but less than 360 degrees. Therefore, if the two acute angles sum to less than 180 degrees, the corresponding reflex angle (360 degrees minus that sum) will indeed be a reflex angle.


What is the sum of two acute angles of a right triangle?

The sum of two acute angles of a right triangle must equal 90 degrees.


What is the sum of the acute angle measure of a right angle?

The sum of the angles of a triangle is 180 degrees. A right angle is 90 degrees. So the sum of the remaining two acute angles of a right triangle is 90 degrees.


What is the sum of all angles in an acute angle?

180 degrees


The sum of two acute angles is something always or never an obtuse?

The sum of two acute angles is sometimes an obtuse angle because, acute angles can measure from 10 to 90 degrees. Two 30 degree angles would both be acute whose sum would only create another acute angle of 60 degrees. But, two80 degree angles would both be acute angle whose sum would only create an obtuse angle.


What is the sum of the two acute angles in a right triangle?

90 degrees


Why does a triangle have two acute angles?

If there were less than two acute angles, there would be two (or more angles that were 90 degrees or more. Then the sum of the three angles of the triangle would be more than 180 degrees. But this is not possible because the interior angles of a triangle sum to 180 degrees.


What is the sum of the angles of an acute obtuse triangle?

the sum of any triangle is always 180 degrees...


Why must you have at least 2 acute angles?

Sum of all three angles of a triangle is 180 degrees. If two of them are not acute, they are greater than or equal to 90 degrees each. In that case the sum of two angles exceeds 180 degrees. That contradicts the requirement of the first sentence.


What triangle has a right angle and 2 acute angles?

an isocelesANS2:Any triangle that has one right angle will have 2 acute angles. An acute angle is less than 90 degrees and the sum of all angles in a triangle is 180 degrees. The sum of the other two angles would have to add to 90 degrees so they would both have to be less than 90 degrees.


Why Do triangles have 2 acute angles?

The sum of all three angles is 180 degrees. If there are not two acute angle then there are two (or more) angles that are 90 degrees or more. So those two angles sum to 180 degrees of more and so the third angle must have a negative measure - and that is not possible.


A pair of angles whose sum is 90 degrees are called?

Two angles whose sum is 90 degrees are called complementary angles. Two angles whose sum is 180 degrees are called supplementary angles. A single angle of 90 degrees is called a right angle.