Question

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 triangle is. the total interior angle measure of polygon abcdefg is

Explanation:

Step1: Determine the number of triangles

The formula for the number of triangles formed by triangulating an \(n -\)sided polygon is \(n - 2\). For a heptagon (\(n=7\)), the number of triangles is \(7 - 2=5\).

Step2: Determine the sum of interior angles of a triangle

By the triangle - angle sum theorem, the sum of the interior angles of any triangle is \(180^{\circ}\).

Step3: Determine the sum of interior angles of the polygon

Since the polygon is divided into \(5\) triangles and the sum of interior angles of each triangle is \(180^{\circ}\), the sum of 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 \(900^{\circ}\).