discovering geometry chapter 5 test review hghs. complete each statement. 1.the number of triangles...

Chapter 5 Test Review

Discovering Geometry Chapter 5 Test Review HGHS

Complete each statement.

1. The number of triangles formed in an octagon when all the diagonals from one vertex are drawn is ________________.

2. The sum of the measures of the n interior angles of an n-gon is _____________.

3. The sum of the measures of the exterior angles of a 30-gon is _______________.

4. The measure of one angle in a regular decagon is ________________.

5. If the measure of one exterior angle of a regular polygon is 30°, then the polygon has ________________ sides.

How many triangles are formed by drawing diagonals from one vertex in the polygon?What is the sum of the measures of the angles in the polygon?

180(n-2) = sum of the measures of the interior angles.

(n-2) = number of triangles, where n = number of sides

(10 - 2) = 8

180(10-2) = 1440

180(n-2) = sum of the measures of the interior angles.

(n-2) = number of triangles, where n = number of sides

(12 - 2) = 10

180(12-2) = 1800

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