Question

How many obtuse angles can an equilateral triangle have?

Answer 1

Hint: To solve this question, we just need the meaning of obtuse angle and equilateral triangle. The question is how many obtuse angles are there in equilateral triangles. But the equilateral triangle has all angles the same and are acute angles. So let’s see the reason and answer to the question above!

Complete step by step solution:
We know that obtuse angles are one of the types of the angles from the three. It is the angle greater than \[{90^ \circ }\]. These angles are greater than both acute angle and right angle also.

Now the equilateral triangle is the triangle with all angles equal to \[{60^ \circ }\] and all sides are the same.

This is the equilateral triangle above. Now as we can see that all the angles are even less than \[{90^ \circ }\] so undoubtedly they are less than an obtuse angle also. So it concludes that the equilateral triangle has no obtuse angle.

Note: But you can cross check that the exterior angle of the equilateral triangle are obtuse angles. Note that if one of the angles of the triangle is obtuse the other two angles should be definitely and compulsorily be acute. Because the sum of all the angles of the triangle is \[{180^ \circ }\].