Question

.5 What is the size of the reflex angle between
the hands of clock at 3 o'clock, 5o'clock
and 8 o'clock?
​

Answer 1

Answer:

270, 210, 240

Step-by-step explanation:

1. 3 o'clock 90 degree

360-90=270

2. 5 o'clock 150 degree

360-150=210

3. 8 o'clock 120 degree

360-120=240

Answer 2

The reflex angle(3 o'clock) = 270°

The reflex angle(5 o'clock) = 210°

The reflex angle(8 o'clock) = 240°

Step-by-step explanation:

To find, the size of the reflex angle between the hands of clock at 3 o'clock, 5o'clock  and 8 o'clock = ?

3 o'clock

3 o'clock

= $\dfrac{360}{60} \times 15$

= 90°

The reflex angle = 360°  - 90° = 270°  

5 o'clock

5 o'clock = $\dfrac{360}{60} \times 25$

= 6 × 25

= 150°

The reflex angle = 360° - 150° = 210°

8 o'clock

8 o'clock = $\dfrac{360}{60} \times 40$

= 6 × 40

= 240°

The reflex angle = 240°