Lesson

Title: Angles(Interior & Exterior)

Grade: 4-a Lesson: S2-L2

Explanation: Hello students, let us learn a new topic in geometry today with definitions, concepts, examples, and worksheets included.

Lesson:

Definition: Interior Angles

An interior angle is an angle inside a polygon, which is a closed shape with sides and vertices.

In a regular polygon, all interior angles are congruent.

The sum of the interior angles of a polygon of 'n' sides can be calculated using the formula 180(n-2)°.

Each interior angle of a regular polygon of 'n' sides can be calculated using the formula \$((180(n-2))°)/n\$.

1

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Explanation: In the given image, the sum of the interior angles of a polygon is 360°. This can be represented by the formula (n-2)180° where n is the number of sides.

Definition: Exterior Angles

The Exterior Angle is the angle between any side of a shape and a line extended from the next side.

When we add up the Interior Angle and Exterior Angle, we get a straight line of 180°.

These angles are known as Supplementary Angles.

The formula for calculating the measure of an exterior angle of a regular polygon with n sides is \$(360°)/n\$.

2

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Explanation: In the given image, angle b is an exterior angle while angles a and b are interior angles.


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