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What is the sum of an acute angle?

Updated: 4/28/2022
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Greater than 0 but less than 90 degrees

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Q: What is the sum of an acute angle?
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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.


Which shape has only two acute angles?

"z" has two acute angles a triangle can have 3 acute angles but also will have a angle >= 60degrees acute (also note for every acute angle a obtuse angle is formed the sum of the obtuse and acute angle will = 360) because of this a arrow is the only shape with two acute angles and 1 obtuse


How do you know if three numbers can make an acute triangle?

They are acute if every single angle is under 90 degrees, but their sum is equal to 180.


In the right triangle the ratio of the measures of the two acute angles is 4 1 what is the measure in degrees of the larger acute angle?

The 4 to 1 ratio of the two acute angles can be restated as the larger acute angle is four times as large as the smaller acute angle. Since the sum of all angles in a triangle equal 180 degrees, the sum of the two acute angles will be equal to 90 degrees. The remaining 90 degrees are found in the right angle present in all right triangles. If we divide the 90 degrees of the acute angles by 5 (to get the five parts of our ratio) and ascribe 4 of those parts to the largest acute angle we can find the size of that angle by multiplying (90 / 5) x 4 = (18) x 4 = 72. Therefore the largest acute angle is 72 degrees and the smaller acute angle is 18 degrees for a total of 90 degrees. Answer: 72 degrees


Why do all triangles have acute angles?

A triangle is a three-sided figure with three angles, two or three of which (depending on the triangle) must be acute angles. The sum of all of the angles has to equal 180° - no more, no less. An acute angle is an angle of less than 90°. If one of the angles of a triangle is 90° or more (it is a right angle or obtuse angle) the SUM of the other two angles cannot exceed 180° minus the degree of the first angle. Therefore the two remaining angles must be less than the first angle, which means that they have to be acute angles.

Related questions

What is the sum of acute angle is?

The sum of one angle is simply the measure of that angle.


What is the sum of an acute angle and a right angle?

An obtuse angle.


What is the angle sum of the acute angle of a right angled triangle?

The Answer is 270


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.


Does the sum of any 2 acute angles have to be an acute angle?

No. An acute angle measures less than ninty degrees, so it is possible to have two angle that when added together that the sum sill equal or exceed 90 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.


Can a triangle have a right angle and an acute angle?

No A right angle has 90 degree A triangle has 180 degreeYes, a right triangle has one right angle and two acute angles. The sum of the acute angles is 90°.


If two angles are complimentary and if one angle is acute then the other angle is what kind of angle?

Well, if one angle is acute then the other one has to be acute. This is because the definition of complimentary angles is the sum sum of the angles has to add up to 90 degrees. So therefore, the angle has to add up to 90 degrees.


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

180 degrees


Which shape has only two acute angles?

"z" has two acute angles a triangle can have 3 acute angles but also will have a angle >= 60degrees acute (also note for every acute angle a obtuse angle is formed the sum of the obtuse and acute angle will = 360) because of this a arrow is the only shape with two acute angles and 1 obtuse


Can two angles whose sum is a straight angle be acute?

If you mean a 180o angle, which is represented as a straight line, then no. Two acute angles cannot add up to 180o because an acute angle is less than 90o.


Is the sum of the measure of an acute angle and measure of a right angle always greater than 90 degrees?

yes, since a right angle is 90 degrees and an acute is greater than 0