Which of the following a triangle can not have?

2 acute angles

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2 obtuse angles

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1 acute and 1 obtuse angle

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1 right angle

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Solution

The correct option is B
2 obtuse angles

Obtuse angle is greater than $90^{\circ}$ . If there are two obtuse angles, the sum of two angles will be more than $180^{\circ}$ . But in a triangle, sum of all the angles is equal to $180^{\circ}$ . So, a triangle can't have 2 obtuse angles

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Similar questions

Statement 1: A triangle in which each angle is acute is called an acute angle triangle.

Statement 2: A triangle in which each angle is obtuse is called an obtuse angle triangle.

Q. Which of the following is correct?
1. The sum of two acute angles is always an obtuse angle
2. The difference between an obtuse angle and a right angle is an acute angle
3. The sum of two acute angles can be acute, right or an obtuse angle

Question 12
If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?
a) One obtuse angle and one acute angle
b) One right angle and one acute angle
c) Two acute angles
d) Two right angles

Q. Which of the following is arranged as right-angled triangle, acute-angled triangle and obtuse-angled triangle respectively from left to right?

Q. Assertion :In a acute angle triangle

tan A tan B tan C = 1

. Reason: In obtuse angle triangle

tan A tan B tan C < 0

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Which of the following a triangle can not have?

The correct option is B 2 obtuse angles Obtuse angle is greater than 90∘. If there are two obtuse angles, the sum of two angles will be more than 180∘. But in a triangle, sum of all the angles is equal to 180∘. So, a triangle can't have 2 obtuse angles

The correct option is B
2 obtuse angles

Obtuse angle is greater than $90^{\circ}$ . If there are two obtuse angles, the sum of two angles will be more than $180^{\circ}$ . But in a triangle, sum of all the angles is equal to $180^{\circ}$ . So, a triangle can't have 2 obtuse angles