Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Angles(Interior & Exterior) |
Grade: 4-a Lesson: S2-L2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Each of the exterior angles of a regular polygon is 20°. How many sides does the polygon have? |
|
2 |
Step |
Exterior angle of the given polygon |
20° |
3 |
Hint |
We know that in a polygon, the sum of all the external angles = 360° |
|
4 |
Clue |
Number of sides = 360° / Exterior angle |
|
5 |
Step |
Substitute the value |
\$(360°)/(20°)\$ |
6 |
Step |
Number of sides(n) |
18 |
7 |
Step |
Thus, the given polygon has 18 sides. |
|
8 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
9 |
Choice.A |
10 sides is not correct because the formula gives a result of 18, not 10 |
10 sides |
10 |
Choice.B |
12 sides is not correct. If the measure of each exterior angle is 20°, then using the formula |
12 sides |
11 |
Choice.C |
18 sides is correct. If the measure of each exterior angle is 20°, then using the formula |
18 sides |
12 |
Choice.D |
A 20° exterior angle in a regular polygon means it has 18 sides, not 20 so it is incorrect |
20 sides |
13 |
Answer |
Option |
C |
14 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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