Do all triangles have an obtuse angle?

Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

Why can a triangle not have two obtuse angles?

No, because the sum of three angles of a triangle is 180 degree & sum of any two obtuse angles is always more than 180 degree. So, it can not be possible that a triangle have two obtuse angles. … Since sum of measure of angles of a triangle is 180 degrees it is not possible to have two obtuse angle.

Does a scalene triangle have an obtuse angle?

A scalene triangle can be acute-angled or obtuse-angled or right-angled.

How do you know if a triangle is obtuse?

An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees.

What triangles can be obtuse?

An obtuse-angled triangle can be a scalene triangle or isosceles triangle but will never be equilateral since an equilateral triangle has equal sides and angles where each angle measures 60°.

Why does an obtuse triangle have only one obtuse angle?

Explanation: The sum of all the inner angles of a triangle must be exactly 180 degrees. An obtuse angle is more than 90 degrees, say 90+ɛ , meaning “something more than 90 .

Is an equilateral triangle always sometimes or never an obtuse triangle?

The answer is yes. Each angle is 60 deg, satisfying the definition of an acute angle. Under Euclidean geometry, an equilateral triangle must be composed of three 60º angles. As 60º < 90º.

What shapes have obtuse angles?

The following plane shapes or polygons have at least one obtuse angle in them. (A) Obtuse triangle, (B) rhombus, (C) trapezoid, (D) pentagon, (E)…

Can a triangle have two obtuse angles?

We have the property that the sum of the angles of a triangle is always 180∘ . Obtuse angle is an angle which has magnitude more than 90∘ . So adding that two angles only we will get 180∘ or more than that. … Hence having two angle obtuse, construction of a triangle is not at all possible.

Can a right triangle be obtuse?

A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute.

Are right angles always obtuse?

It is false. The angles add up to 180 degrees. If one angle is 90 there can be no other angle equal to or greater than 90 degrees. (Obtuse angle is an angle greater than 90 degrees).

Are obtuse triangles are always isosceles triangles?

No. There can be an obtuse angle or a right-angle in an isosceles triangle.

What is an example of an obtuse angle?

145°, 150°, 178°, 149°, 91° are all examples of obtuse angle degrees as they are more than 90° and less than 180°.

Can a right angle have one obtuse angle?

If we assume that one angle is right angle of 90∘ and other angle be obtuse angle of x such that x>90∘ . Sum of the 2 angles is then 90+x>180∘ . It cannot be possible due to equation (1).

What is an oblique triangle?

An oblique triangle is any triangle that is not a right triangle. It could be an acute triangle (all threee angles of the triangle are less than right angles) or it could be an obtuse triangle (one of the three angles is greater than a right angle).

Can a quadrilateral have 4 obtuse angles?

A quadrilateral cannot have four obtuse angles. … Since an obtuse angle measures greater than 90 degrees, if there were four of them in one quadrilateral, the sum of the measures of the angles would be greater than 360 degrees. This is not possible.

Which of the following is an obtuse?

An obtuse angle is any angle larger than 90 degrees and less than 180 degrees. In other words, if the angle formed where two line segments meet goes beyond a right angle, it’s obtuse. Think of it as a reclined car seat. Anything beyond that perfect upright, 90 degree position is obtuse.

Is 120 an obtuse angle?

120º angle

This is an obtuse angle because 120 is a number greater than 90 and less than 180.