A right angle triangle has a 90 degree angle and two acute angles and the 3 angles add up to 180 degrees
No shape does. If a shape has four angles, the sum of the four angles is 360°. If two are right angles, their sum is 2 x 90° = 180°, leaving 360° - 180° = 180° for the two remaining angles. An acute angle is less than 90°, so the sum of two acute angles is less than 90° + 90° = 180°, but in this shape their sum must be equal to 180°; thus no shape can exist. If one angle is acute and the other is obtuse, then their sum can be 180° and the shape is a trapezium.
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.
OK, if you like. N it is.
To ensure that the total sum of interior angles of a right angle triangle add up to 180 degrees.
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.
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°.
A right angle triangle has a 90 degree angle and two acute angles and the 3 angles add up to 180 degrees
A right angle has a 90-degree and in two acute angles.
No shape does. If a shape has four angles, the sum of the four angles is 360°. If two are right angles, their sum is 2 x 90° = 180°, leaving 360° - 180° = 180° for the two remaining angles. An acute angle is less than 90°, so the sum of two acute angles is less than 90° + 90° = 180°, but in this shape their sum must be equal to 180°; thus no shape can exist. If one angle is acute and the other is obtuse, then their sum can be 180° and the shape is a trapezium.
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.
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.
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.
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.
OK, if you like. N it is.
To ensure that the total sum of interior angles of a right angle triangle add up to 180 degrees.
No shape does: if it has three angles the sum of the angles will be 180°, but 2 right angles is 2 x 90° = 180° which means the third angle cannot exist.