Answer:
113°
Step-by-step explanation:
Calculate the angle of the minute hand (θm)
The clock face is a circle of 360°, and there are 60 min in 1h,
so, the minute hand travels 6° in 1 min.
In 26 min, the minute hand will travel
θm = 26 × 6
= 156°
Calculate the angle of the hour hand (θh)
The hour hand travels 360° in 12 h, so it travels 30° in 1 h
It has travelled for 1 h 26 min = 1²⁶/₆₀ h.
θh = 1²⁶/₆₀ × 30
= 86/60 × 30
= 43°
Calculate the angle between the hands
θ = θm - θh
= 156 - 43
= 113°
The angle between the hands is 113°.
