Question

In a wall clock, the angle made by minute and hour hands at 3 o'clock angle is congruent to ___ .

• A. 9 o'clock
• B. half past 8
• C. half past 3
• D. 6 o'clock

Answer 1

The correct option is A 9 o'clock

The angle formed by minute and hour hands at 3 o'clock as well as at 9 o'clock is 90${}^{\circ }$. Since they are equal, they are also congruent.

In case of half past 8, hour hand is between 8 and 9; and minutes hand is on 6. So, this angle is less than 90${}^{\circ }$.

Similar is the case is with half past 3.