Question

6 select the correct answer from each drop - down menu. determine the number of triangles formed from triangulated polygon abcdefg. determine the total interior angle measure in each triangle and the total interior angle measure of the polygon. polygon abcdefg may be divided into triangles. the total interior angle measure of each tra the total interior angle measure of polygon abcdefg is

Explanation:

Step1: Recall triangle - division formula

For an \(n\) - sided polygon, the number of non - overlapping triangles formed by triangulation from one vertex is \(n - 2\). The polygon \(ABCDEFG\) has \(n=7\) sides. So the number of triangles formed is \(n - 2=7 - 2 = 5\).

Step2: Recall interior - angle sum of a triangle

The sum of the interior angles of any triangle is \(180^{\circ}\).

Step3: Calculate interior - angle sum of the polygon

Since the polygon \(ABCDEFG\) is divided into 5 non - overlapping triangles, the sum of the interior angles of the polygon is \(5\times180^{\circ}=900^{\circ}\).

Answer:

Polygon \(ABCDEFG\) may be divided into 5 triangles.
The total interior angle measure of each triangle is \(180^{\circ}\).
The total interior angle measure of polygon \(ABCDEFG\) is \(900^{\circ}\).