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match the figure at the right with the number that represents the sum of the interior angles for that figure. n=4 →n=5 →n=6 →n=7 →

match the figure at the right with the number that represents the sum of the interior-example-1

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We will match them by using the following expression:


ia=(n-2)\cdot180

Here ia represents the sum of all internal angles and n the number of sides of the shape.

*Now we solve for each shape in order:

1st. 4 sides:


ia=(4-2)\cdot180\Rightarrow ia=360

So, the first shape has a sum of internal angles that equals 360°.

2nd. 5 sides:


ia=(5-2)\cdot180\Rightarrow ia=540

So, the second shape has a sum of internal angles that equals 540°.

3rd. 6 sides:


ia=(6-2)\cdot180\Rightarrow ia=720

So, the third shape has a sum of internal angles that equals 720°.

4th. 7 sides:


ia=(7-2)\cdot180\Rightarrow ia=900

So, the fourth shape has

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