Can an acute triangle have acute exterior angles?

C B Can the exterior angles of a triangle be acute? Yes If the interior angle of the triangle is obtuse then the outside angle will be acute.

Can a triangle have exactly one acute angle?

A triangle can never have only one acute angle. If a triangle has 1 acute angle, the other angles will be either right angles or obtuse angles which is not possible as the sum of interior angles of a triangle is always 180°.

Is it possible for a triangle to have only one obtuse exterior angle?

In Euclidean geometry, a triangle can only have one obtuse angle. This is because the angles of a triangle (which by definition has 3 angles) must add up to 180 degrees. That means that in a triangle with one obtuse angle X, the other two angles must add up to (180 – X).

How many acute exterior angles does a triangle have?

An exterior angle of a triangle is an angle formed by one side of the triangle and the extension of an adjacent side of the triangle. FACTS: Every triangle has 6 exterior angles, two at each vertex.

Which triangle is surely an acute angle triangle?

An equilateral triangle is a triangle with all three angles and sides equal. If all a triangle’s angles are equal, they all must measure 60 degrees, adding up to 180 degrees total. Since all angles are acute, or less than 90 degrees, an equilateral triangle is also an acute triangle.

Can a triangle have a 2 acute angles?

The definition of acute angle is that the range for the angle has to be 0∘<α<90∘. Therefore, a triangle can have two acute angles as the sum of those two angles becomes less than 180∘.

Can you have an acute isosceles triangle?

By definition, an acute isosceles triangle will have at least two sides (and at least two corresponding angles) that are congruent, and no angle will be greater than . Addtionally, like all triangles, the three angles will sum to .

Why can a triangle only have one obtuse angle?

Hence, the sum of the measures of two obtuse angles is greater than 180 degrees, and the sum of the measures of three obtuse angles is greater that 270 degrees. The sum of the angles of a triangle, however, equals 180 degrees. Therefore, only one angle in a triangle can be obtuse.

Can a triangle have one obtuse angle and one right angle?

No, a triangle cannot have an obtuse and a right angle.

Can a triangle have two obtuse exterior angles?

An angle is obtuse if its lies between 90 and 180 degrees. So, the exterior angle is with two obtuse angles. Therefore, the triangle satisfies the above condition.

Can a triangle have 3 acute angles?

An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.

Can a triangle have 2 parallel sides?

A triangle is a geometric shape that always has three sides and three angles. Triangles have zero pairs of parallel lines. Only one type of triangle, the right triangle, does have two perpendicular lines.