Geometry: Measurement of Angles (Level 6 of 9)

This video tutorial covers the calculation of angles formed by clock hands at various times, explaining the concept of dividing a clock into 12 slices, each representing 30 degrees. It provides examples for different times, such as 3:00, 4:30, 7:20, and 1:45, demonstrating how to calculate the angles between the hour and minute hands. The video concludes with a problem involving congruent angles, where the measurements of given angles are used to determine the congruency of two specific angles.

How many degrees is each slice of a clock face when divided into 12 equal parts?

• 30 degrees

• 45 degrees

• 15 degrees

• 60 degrees

What is the angle between the clock hands at 3:00?

• 150 degrees

• 120 degrees

• 60 degrees

• 90 degrees

At 4:30, how many degrees is the angle between the clock hands?

• 60 degrees

• 30 degrees

• 45 degrees

• 75 degrees

What is the angle between the clock hands at 7:20?

• 110 degrees

• 100 degrees

• 90 degrees

• 80 degrees

At 1:45, what is the smallest angle between the clock hands?

• 142.5 degrees

• 150 degrees

• 130 degrees

• 120 degrees

If angle DEG is 80 degrees and angle DEF is 50 degrees, what is angle FEG?

• 20 degrees

• 30 degrees

• 40 degrees

• 50 degrees

What conclusion can be drawn about angles FEG and KJM if both measure 30 degrees?

• They are complementary

• They are supplementary

• They are adjacent

• They are congruent