Example

Title: Angles(Interior & Exterior)

Grade: 4-a Lesson: S2-L2

Explanation: The best way to understand geometry is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Observe the following figure to see the interior and exterior angles.

Step 1a

In this image, ∠1 & ∠2 and ∠7 & ∠8 are exterior angles, while ∠3 & ∠4 and ∠5 & ∠6 are interior angles.

1a

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Explanation: in this image, we can identify the exterior angles as ∠1 & ∠2 and ∠7 & ∠8, while the interior angles are ∠3 & ∠4 and ∠5 & ∠6.

Step 1b

∠4 and ∠5 are alternate interior angles, while ∠1 & ∠8 and ∠2 & ∠7 are the pairs of alternate exterior angles.

∠3 and ∠6 are also alternate interior angles.∠4 & ∠5 , ∠3 and ∠6 are alternate interior angles, while ∠1 & ∠8 and ∠2 & ∠7 are the pairs of alternate exterior angles.

Explanation: ∠4 & ∠5 are alternate interior angles, as are ∠3 & ∠6. ∠1 & ∠8 and ∠2 & ∠7 are the alternate exterior angles.

Step 1c

∠3 and ∠7 are corresponding angles while ∠4 and ∠8 are also corresponding angles due to the parallel lines AB and CD.

Explanation: ∠3 & ∠7, and ∠4 & ∠8 are corresponding angles due to parallel lines AB & CD.


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