LESSON 31 SESSION 1
3 Solve the problem. Show your work.
Beau and Kong each turn the hour hand on a clock face.
They make different angles by turning the hour hand.
Who makes the greater angle? Explain how you know.
12
12
11
12
11
10
2
10
2
10
2
3
-9
3-
9
3.
9
8
4-
8
4.
8.
5
7
5
6
7 6
5
6
6
Beau's angle
Kong's angle



Answer :

In order to determine who makes the greater angle between Beau and Kong when turning the hour hand on a clock face, we need to understand how the angles are calculated. 1. Each hour on the clock face represents 30 degrees (360 degrees divided by 12 hours). 2. To calculate the angle formed by turning the hour hand from one hour to another, we can use the formula: Angle = (Number of hours elapsed) * 30 degrees. Now, let's analyze the provided information: - Beau turns the hour hand from 12 to 11, which is 1 hour. So, Beau's angle would be 1 * 30 = 30 degrees. - Kong turns the hour hand from 12 to 10, which is 2 hours. Therefore, Kong's angle would be 2 * 30 = 60 degrees. Based on the calculations, Kong makes the greater angle (60 degrees) compared to Beau (30 degrees) when turning the hour hand on the clock face. This is because Kong moves the hour hand by 2 hours, resulting in a larger angle formed.