Question

In a right angled triangle $△ABC,$ the right angle is at $B.$ Which of the following is true about the other two angles $A$ and $C?$

• A. One of the angles is acute and the other is obtuse.
• B. Both the angles should be acute
• C. Both the angles should be obtuse
• D. There is no restriction on the measure of the angles

Answer 1

The correct option is B

Both the angles should be acute

In $△ABC,\angle A+\angle B+\angle C={180}^{\circ }$

$\Rightarrow \angle A+\angle C={180}^{\circ }-{90}^{\circ }={90}^{\circ }$

Thus, none of the angles, $A$ or $C$ can be $\ge {90}^{\circ }$

$\therefore$ The two angles must be acute angles.