Question

6.1 properties and attributes of polygons

1. classify the polygon as concave or convex and regular or irregular, then name it by the number of sides
2. find the sum of the interior angles of an 22 - gon
3. find the measure of each interior angle of a regular 20 - gon.
4. find the measure of each exterior angle of a regular heptagon.
5. find x
6. find x
7. find x.
8. find the measure of each unknown angle

Explanation:

Answer:

1. Concave, irregular pentagon
2. $3600^\circ$
3. $162^\circ$
4. $\frac{360}{7}^\circ \approx 51.43^\circ$
5. $x=12$
6. $x=114$
7. $x=50$
8. $x=32$, $(4x-8)^\circ=120^\circ$, $(3x-5)^\circ=91^\circ$