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

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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.

## Does an acute angle always have a complement?

No, two acute angles are not always complementary. For two angles to be complementary, their measures must sum up to 90°. For two angle to be…

## Are two acute angles always complementary?

Yes, two acute angles can be complementary to each other.

## Are acute angles of a right triangle always complementary?

In a right triangle, the sine of one acute angle, A, equals the cosine of the other acute angle, B. Since the measures of these acute angles of a right triangle add to 90º, we know these acute angles are complementary.

## Is the sum of two acute angles sometimes always or never an obtuse angle explain?

The sum of two acute angles is sometimes obtuse. Let one angle measure 5 degrees and the other angle measure 10 degrees. These are both acute angles, but their sum measures 15 degrees, which is not an obtuse angle.

## Is it true that if two acute angles of a triangle are complementary then the triangle must be a right triangle?

A right angle is also known as a 90 degree angle, and vice versa. So all triangles with any two angles being complementary is always a right triangle.

## Can a triangle contain two 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.

## Can a triangle have 2 complementary angles?

Two complementary angles can be either adjacent or non-adjacent. Three or more angles cannot be complementary even if their sum is 90 degrees. If two angles are complementary, each angle is called “complement” or “complement angle” of the other angle. Two acute angles of a right-angled triangle are complementary.

## Can you have a triangle with two internal right angle True False?

Because of the fact that the sum of the three interior angles of a triangle must be 180 degrees, a triangle could not have two right angles.

## What is true that a triangle has two right angles?

It is false. A triangle can’t have two right angle.

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

Explanation: A triangle has 180o as the sum of all its internal angles, no more, no less. If one angle is 90o , then you can have two 45o angles, one 30o and a 60o , an 81o and a 9o – pretty much any combination of numbers adding up to 90 to make the total 90+90=180 .

## What is the minimum number of right angles there can be in a triangle?

The least number of acute angles that a triangle can have is 2 . As we cannot have more than one right angle or obtuse angle, we have only two or three acute angles in a triangle. Further, if one angle is acute, sum of other two angles is more than 90∘ and we cannot have two right angles or obtuse angles.

2

one obtuse

## What is the number of obtuse angle?

Obtuse angles measure more than 90 degrees.

## What is the largest acute angle?

What is the measure of the largest integer acute angle? Since acute angles are angles with a measure less than 90°, the largest integer acute angle will have a measure of 89°.

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