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. 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 $\Delta$ ABC, $\angle$A + $\angle$B + $\angle$C = 180${}^{\circ }$

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

The sum of two angles is 90${}^{\circ }$ and hence each of these angles is less than 90${}^{\circ }$.

This means that these angles are acute.