Can a triangle have more than one obtuse angle?
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Can a triangle have more than one obtuse angle?
If we try to draw two obtuse angles and connect them to form a triangle (i.e: only 3 sides), we will see that it is not possible.
Therefore, the answer is no.
No
What is the size of the unlabelled angle?
An obtuse angle is any angle greater than 90° but less than 180°. Think of it as 'wider' than a right angle (90°).
Because the angles in any triangle must add up to exactly 180°. If you have two obtuse angles (each >90°), their sum alone would exceed 180°, leaving no room for a third positive angle!
Yes! A triangle can have one obtuse angle. The other two angles must be acute (less than 90°) to make the total equal 180°. This is called an obtuse triangle.
The largest obtuse angle approaches 180° but can never reach it. As the obtuse angle gets larger, the other two angles get smaller and approach 0°.
Think of it this way: 180° total budget for all three angles. If you 'spend' more than 90° twice, you've already exceeded your budget before adding the third angle!
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