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Acute angle
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∙ 14y ago
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Do triangles have at least 2 acute angles?
Yes. The sum of the angles in a triangle is 180° All angles in a triangle must be greater than 0° which means that the sum of any two angles must be less than 180° If two angles are right angles (90°), their sum is 180° which is not less than 180°; thus at most one angle can be a right angle. If one angle is a right angle and another is an obtuse angle (greater than 90°), then their sum is greater than 180°, which is not less than 180°; thus there can be at most one of a right angle and an obtuse angle. If two angles are obtuse angles, their sum is greater than 180°, which is not less than 180°; thus there can be at most one obtuse angle. If there is at most one right angle or an obtuse angle, there must be at least two acute angles.
What shape do not have any right angles or angles whose measures are larger than a right angle?
Amongst polygonal shapes, only an acute triangle can have all its angles less than 90 degrees. Any other polygon must have one or more right or obtuse angles.
Do triangles have at least one right angle?
Triangles can be classified by their sides or their angles. When classifying them by their angles, triangles are called: acute triangles - all three angles are acute (less than 90º) right triangles - one right angle (90º) and two acute angles obtuse triangles - one obtuse angle (larger than 90º) and two acute angles
Is a right triangle acute true or false?
False ------------------------------------ An acute triangle is one in which all angles are acute angles. An acute angle is less than 90°. A right angle is 90°, which is equal to 90° not less than 90° Therefore all the angles of a right triangle are not all acute Thus a right triangle is not an acute triangle.
Is it possible for supplementary angles to make 2 obtuse angles?
Not sure exactly what you mean.Supplementary angles are such that they sum to 180oObtuse angles are greater than 90o and less than 180o→ the sum of two obtuse angles is greater than 90o + 90o, ie is greater than 180oSo two obtuse angles can never be supplementary.For two angles to be supplementary they must be either:both right angles (90o each); orone acute (less than 90o) and one obtuse (greater than 90o and less than 180o).
Do triangles have at least 2 acute angles?
Yes. The sum of the angles in a triangle is 180° All angles in a triangle must be greater than 0° which means that the sum of any two angles must be less than 180° If two angles are right angles (90°), their sum is 180° which is not less than 180°; thus at most one angle can be a right angle. If one angle is a right angle and another is an obtuse angle (greater than 90°), then their sum is greater than 180°, which is not less than 180°; thus there can be at most one of a right angle and an obtuse angle. If two angles are obtuse angles, their sum is greater than 180°, which is not less than 180°; thus there can be at most one obtuse angle. If there is at most one right angle or an obtuse angle, there must be at least two acute angles.
What shape do not have any right angles or angles whose measures are larger than a right angle?
Amongst polygonal shapes, only an acute triangle can have all its angles less than 90 degrees. Any other polygon must have one or more right or obtuse angles.
Do triangles have at least one right angle?
Triangles can be classified by their sides or their angles. When classifying them by their angles, triangles are called: acute triangles - all three angles are acute (less than 90º) right triangles - one right angle (90º) and two acute angles obtuse triangles - one obtuse angle (larger than 90º) and two acute angles
Is a right triangle acute true or false?
False ------------------------------------ An acute triangle is one in which all angles are acute angles. An acute angle is less than 90°. A right angle is 90°, which is equal to 90° not less than 90° Therefore all the angles of a right triangle are not all acute Thus a right triangle is not an acute triangle.
Is it possible for supplementary angles to make 2 obtuse angles?
Not sure exactly what you mean.Supplementary angles are such that they sum to 180oObtuse angles are greater than 90o and less than 180o→ the sum of two obtuse angles is greater than 90o + 90o, ie is greater than 180oSo two obtuse angles can never be supplementary.For two angles to be supplementary they must be either:both right angles (90o each); orone acute (less than 90o) and one obtuse (greater than 90o and less than 180o).
In a linear pair of angles does one of the angles have to be obtuse?
Ordinarily, yes: one is acute (less than 90 degrees) and one is obtuse (more than 90 degrees), such that their sum is 180 degrees. The exception is if both angles are right angles (2 x 90 degrees).
What is a triangle that has one angle less than 90 degrees?
If all three angles are less than 90 degrees, then it is called an Acute Triangle. If two angles are less than 90 degrees and the other one is 90 degrees, then it is called a Right Triangle. If one angle is more than 90 degrees and the other two are less than 90 degrees, then it is called an Obtuse Triangle. Hope this helps!
Can a quadrilateral have three acute angles and one right angle?
No, a quadrilateral can't have three acute angles and one right angle. The angles of a quadrilateral must total 360. The three other angles of a quadrilateral with one right angle would then have to total 270 degrees. If all three were acute (less than 90 degrees), they could not total 270.
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.
Does a tetrahedron have right angles?
It can have a right angle, or more than one right angle, but it also is possible that it does not have any right angles.
Which angles of the parallelogram are greater than a right angle?
One pair of opposite angle is greater than a right angle.
Can a horse pen be an acute right triangle no why?
In a acute triangle, all the angles are less than 90 degree's. In a right triangle, one of the angles is 90 degree's, so a triangle cannot be bot acute and right at the same time.
