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Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.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.A triangle can have more than one obtuse angle.
Why can’t you have more than one obtuse angle in a triangle?
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.
Can you have more than one obtuse angle?
A triangle can have more than one obtuse angle.
(ii) A triangle cannot have more than one obtuse angle
Images related to the topic(ii) A triangle cannot have more than one obtuse angle
Can a triangle have two obtuse angles True or false?
(ii) A triangle cannot have two obtuse angles.
Why can a triangle only have one right angle?
Explanation: Since the sum of all angles in any triangle is equal to 180o , so there can be only one right angle if all other angles are to be greater than zero.
How many obtuse angles does a obtuse triangle have?
An obtuse triangle will have one and only one obtuse angle. The other two angles are acute angles.
How many obtuse angles can a right triangle have?
A right triangle can have no obtuse angles.
Why can’t a triangle have two right angles?
The sum of all three corresponding angles is 180°. Hence, a triangle can never have two right angles.
See some more details on the topic why can’t a triangle have more than one obtuse angle here:
Why can’t a triangle have more than one obtuse angle?
The reason that a triangle can’t have more than one obtuse angle lies in the fact that the sum of the three angles of a triangle must always equal.
A triangle cannot have more than obtuse angle(s). – Toppr
A triangle with more than one obtuse angle cannot be formed. Suppose it has two obtuse angles, then the sum of angles of the triangles will be more than 180∘, …
Can a triangle have 2 obtuse angles? – BYJU’S
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. Explore …
What is Obtuse Triangle? – [Definition Facts & Example]
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 …
Can a triangle have obtuse angles?
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.
Can a triangle have one obtuse and right angle?
No, a triangle cannot have an obtuse and a right angle.
Can a triangle have two obtuse angles ? Give reason for your answer.
Images related to the topicCan a triangle have two obtuse angles ? Give reason for your answer.
Can a triangle have more than 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°. So, every triangle needs to have at least 2 acute angles.
Can a triangle have 3 acute angles?
Yes, it is very much possible that a triangle can have 3 acute angles. An acute angle by definition is one whose measure is less than 90 degrees.
Can a triangle have 3 right angles?
No, a triangle cannot have 3 right angles. Since the sum of the angles in a triangle is 180 degrees.
Which triangle is obtuse?
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 there in a?
| Acute Angle | Obtuse Angle |
|---|---|
| It measures less than 90 degrees. | It measures greater than 90 and less than 180 degrees. |
| A triangle with three acute angles is known as an acute angle triangle. | A triangle with 1 obtuse angle and 2 acute angles is termed an obtuse angle triangle. |
What is the minimum number of obtuse angles there can be?
Answer. Answer: The sum of the angles of a quadrilateral is 360°. Hence only 3 obtuse angles are possible to maintain this sum.
Can a triangle have 3 obtuse angles?
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.
Can two obtuse angles be supplementary?
Two obtuse angles can be supplementary angles.
Can a triangle have two obtuse angles?
Images related to the topicCan a triangle have two obtuse angles?
Can a triangle have 3 acute angles?
Yes, it is very much possible that a triangle can have 3 acute angles. An acute angle by definition is one whose measure is less than 90 degrees.
Can two obtuse angles form a linear pair?
No, two obtuse angles cannot form a linear pair because their sum of angles is always greater than 180 degree.
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