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 drop - down menu triangles. the total interior angle measure of each drop - down menu. the total interior angle measure of polygon abcdefg is drop - down menu.

Explanation:

Step1: Count triangles in heptagon

A polygon with $n$ sides forms $n-2$ triangles. For $n=7$, $7-2=5$.

Step2: Total interior angle of triangle

By triangle angle sum property, total is $180^\circ$.

Step3: Total interior angle of heptagon

Use formula $(n-2)\times180^\circ$. For $n=7$, $(7-2)\times180^\circ=5\times180^\circ=900^\circ$.

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 $900^\circ$.