The angels of a triangle have a sum of 180°. the angles of a rectangle have a sum of 360°. the angels of a pentagon have a sum of 540°. continue this pattern to find the sum of the angles of an octagon

Step-by-step explanation:

It is given that the angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum of 540.

Let me define the each terms.

1. We know that each angle in a triangle is 60°, So there is a three angle in a regular triangle.

2. We know that each angle in a rectangle, is 90°, So there is a four angle in a regular rectangle.

Similarly,

So, sum of the angles of an octagon = 135° × 8

Sum of the angles of an octagon = 1080°

Therefore, the required sum of the angles of an octagon is 1080°

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step-by-step explanation: