# What is the greatest number of obtuse angles a triangle can contain?

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Johnson Z. A triangle can have a maximum of 1 obtuse angle.

## Do obtuse triangles add up to 180?

Obtuse Triangle Definition

An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It’s impossible for a triangle to have more than one obtuse angle.

## How many obtuse angles are in a triangle?

There can only be one obtuse angle in any triangle. This is because the measures of the interior angles of a triangle always must add up to 180…

## What is the greatest number of right angles a triangle can contain?

Ans- No a triangle cannot have more than one right angle as if there are 2 right angles the their sum will be 180° and the third angle will exceed the sum.

## What is the greatest number of acute that a triangle can contain?

The greatest number of acute angles that a triangle can contain is three.

## Can 1 acute and 2 obtuse form a triangle?

Types of Triangles. All equilateral triangles are equiangular. … A right triangle will have 1 right angle and 2 acute angles. An obtuse triangle will have 1 obtuse triangle and 2 acute angles.

## What does a obtuse triangle look like?

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees.

## Is it possible to have a triangle with 2 obtuse angles?

The answer is “No”. Reason: If a triangle has two obtuse angles, then the sum of all the 3 interior angles will not be equal to 180 degrees.

## Why can a triangle not have 2 obtuse angles?

When an angle of a triangle is 90 degrees, the triangle cannot have an obtuse angle. The other two must each be less than 90 degrees (90 deg + 89 deg + 1 deg = 180 deg). … It therefore follows that they must both be less than 90 degrees and so must both be acute.

## Can a triangle have 1 obtuse angles?

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

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## Does a triangle have any right angles?

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

## Which triangle has two sides?

An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

## What is the greatest number of right angles that a triangle can contain apex?

For it to be a right triangle, it would have a maximum of 1 right angle, and 2 acute angles.

## Does a right triangle always have 2 acute angles?

Explanation: A right triangle can, and must, have exactly two acute angles. To see this, just remember that the sum of the angles of a triangle must be 180∘ . … Thus, both of the remaining two angles must have a measure less than 90∘ and therefore must be acute.

## What is the value of y in the triangle?

We have to keep in mind, that the sum of three angles of a triangle is always 180°. This data will help us to solve this mathematical problem. Hence,the value of y is 55°.

## Which set of three numbers could be side lengths of a triangle?

for 3, 5 x > 2, x < 8. 7 does fit in, so 3,5, 7 can form a triangle. Testing the others in the same, doesn’t form the sides of a triangle. So only set B 3,5,7 could be the side lengths of a triangle.