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What I Have Learned
I Let us now recap what you have understood in this lesson. Complete the sentences below.
1. An of a polygon is an angle formed by the consecutive sides of a polygon.
2. An of a polygon are angles formed when the side of a polygon is extended, 3. The triangle sum states that
4. The formula in finding the sum of the interior angle of a polygon is.
5. We can find each single interior angle measure of regular polygon by means of ?
6. The sum of exterior angle of any polygon is always
7. To find the measure of each exterior angle of a regular polygon, just divide to number of
8. The Exterior Angle Theorem states that​

Sagot :

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Answer:

1.The exterior angle of a regular polygon is formed by one side and the extension of the consecutive side. The exterior and interior angles are supplementary to each other, that is to say, that adds up 180º.

2.The exterior angle of a regular polygon is formed by one side and the extension of the consecutive side. The exterior and interior angles are supplementary to each other, that is to say, that adds up 180º.

3.Triangle Sum TheoremThe Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.

4.To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

5.Additionally, if we have a regular polygon (i.e., all sides and angles are equal), then we can find the measure of each interior angle by dividing the sum of the interior angles by the number of sides

6.360 degrees

The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees. This is a result of the interior angles summing to 180(n-2) degrees and each exterior angle being, by definition, supplementary to its interior angle.

7.We're just gonna take 360. And we're gonna divide it by the number that we have a number of exterior angles that we have which is the same as the number of sides that the polygon has okay.

8.The exterior angle theorem is Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. This is a fundamental result in absolute geometry because its proof does not depend upon the parallel postulate.

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