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kogti [31]
3 years ago
6

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 o

f 540°. Continue this pattern to find the sum of the angles of an octagon
Mathematics
1 answer:
Airida [17]3 years ago
6 0

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.

<u>Let me define the each terms.</u>

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

  • 60° + 60° + 60°
  • 180°

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

  • 90° + 90°+90°+90°
  • 360°

Similarly,

  • There is 8 angle in a regular octagon and each angle measurement is 135°.

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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