Question

In a triangle PQR, if ∠Q is a right angle, what type of angles would ∠P and ∠R be?

• A. ∠P = Right angle
  ∠R = Acute angle
• B. ∠P = Acute angle
  ∠R = Right angle
• C. Both ∠P and ∠R are Acute angles.
• D. ∠P = Obtuse angle
  ∠R = Right angle

Answer 1

The correct option is C Both ∠P and ∠R are Acute angles.

Let's draw a right angled triangle PQR.


Given: ∠Q = 90°
As we know, in a triangle, if one of the angles is a right angle, the other two angles will be less than 90°.

Hence, ∠P and ∠R are acute angles.