Step-1

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

What is the measure of the exterior angle of the given image?

2

Step

The polygon in the image has

n = 5

3

Formula

we know the interior angle of the polygon is

\$((n-2) * 180)/n\$

4

Step

subsitute the value of n in equation

\$((5-2) times 180)/5\$

5

Step

After simplification

\$(3 times 180)/5\$

⇒ \$540/5\$

⇒ 108

6

Step

So the interior angle is 108°

7

Clue

The sum of interior and exterior angles of any polygon is always equal to 180 degrees.

interior + exterior = 180°

8

Step

substitute the interior angle value

108 - exterior = 180 degrees

exterior = 180 - 108

9

Step

After simplification

exterior = 72°

10

SumUp

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

11

Choice.A

This is correct because it match the calculated exterior angle of 72° for the given value of x

72°

12

Choice.B

This is not correct because it does not match the calculated exterior angle of 72° for the given value of x

90°

13

Choice.C

This is not correct because it does not match the calculated exterior angle of 72° for the given value of x

45°

14

Choice.D

This is not correct because it does not match the calculated exterior angle of 72° for the given value of x

60°

15

Answer

Option

A

16

SumUp

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


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