The hour hand of a clock moves clockwise from 3 to 5. What is the measure of the angle that the hour hand cuts

Angle covered by the hour  hand = 60°

Step-by-step explanation:

Numbers mentioned on an analogue clock = 12

Number of sectors between two numbers = 1

Angle between two numbers or 1 sector =

                                                                    =

                                                                    =

If the hour hand moves clockwise from 3 to 5, sectors covered = 2

Therefore, angle between two sectors = 2 × 30°

                                                                = 60°

Angle covered by the hour  hand = 60°

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)