Question
Prove that a triangle must have atleast two acute angles.
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Answer
If the triangle is an acute angled triangle, then all its three angles are acute angle. Each of these angles is less than $90^{\circ}$, so they can make three angles sum equal to $180^{\circ}$.
If a triangle is a right triangle, then one angle which is right angle will be equal to $90^{\circ}$ and the other two acute angles can make the three angles sum equal to $180^{\circ}$.
If a triangle is a right triangle, then one angle which is right angle will be equal to $90^{\circ}$ and the other two acute angles can make the three angles sum equal to $180^{\circ}$.
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