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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Angles

Grade: 6-a Lesson: S2-L4

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	If an exterior angle of a regular polygon has a measure of 6 degrees, how many sides does it have?
2	Step	The measure of each exterior angle is	6 degree
3	Step	In a regular polygon, the sum of the measures of the exterior angles is always 360 degrees.
4	Step	Let "n" represent the number of sides in the polygon.
5	Step	The formula for the measure of each exterior angle in a regular polygon is 360 degrees divided by the number of sides (n)	6 degrees (measure of each exterior angle) = \$("360 degrees") / n\$
6	Step	To find the number of sides (n), solve for it:	6 = \$360/n\$
7	Step	Cross multiply	6n = 360
8	Step	Divide 6 on both sides:	\$(6n)/6 = 360/6\$
9	Step	After simplification	n = 60
10	Step	Therefore, a polygon with an exterior angle measuring 6 degrees must have 60 sides.
11	SumUp	Can you summarize what you’ve understood in the above steps?
12	Choice.A	This is correct because it represent the measure of the exterior angle	60 degrees
13	Choice.B	This is not correct because it doesn’t represent the measure of the exterior angle	30 degrees
14	Choice.C	This is not correct because it doesn’t represent the measure of the exterior angle	40 degrees
15	Choice.D	This is not correct because it doesn’t represent the measure of the exterior angle	25 degrees
16	Answer	Option	A
17	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

If an exterior angle of a regular polygon has a measure of 6 degrees, how many sides does it have?

Step

The measure of each exterior angle is

6 degree

Step

In a regular polygon, the sum of the measures of the exterior angles is always 360 degrees.

Step

Let "n" represent the number of sides in the polygon.

Step

The formula for the measure of each exterior angle in a regular polygon is 360 degrees divided by the number of sides (n)

6 degrees (measure of each exterior angle) = \$("360 degrees") / n\$

Step

To find the number of sides (n), solve for it:

6 = \$360/n\$

Step

Cross multiply

6n = 360

Step

Divide 6 on both sides:

\$(6n)/6 = 360/6\$

Step

After simplification

n = 60

Step

Therefore, a polygon with an exterior angle measuring 6 degrees must have 60 sides.

SumUp

Can you summarize what you’ve understood in the above steps?

Choice.A

This is correct because it represent the measure of the exterior angle

60 degrees

Choice.B

This is not correct because it doesn’t represent the measure of the exterior angle

30 degrees

Choice.C

This is not correct because it doesn’t represent the measure of the exterior angle

40 degrees

Choice.D

This is not correct because it doesn’t represent the measure of the exterior angle

25 degrees

Answer

Option

SumUp

Can you summarize what you’ve understood in the above steps?