Question

do now #3: match the sum of interior angles with the correct number of sides. 1. 2340° a. octagon 2. 360° b. quadrilateral 3. 1620° c. 15 - gon 4. 900° d. septagon 5. 1080° e. 11 - gon 6. what type of polygon is each:

Explanation:

Step1: Recall sum - of - interior - angles formula

The formula for the sum of interior angles of a polygon is $S=(n - 2)\times180^{\circ}$, where $n$ is the number of sides.

Step2: Solve for $n$ for each sum

For $S = 2340^{\circ}$

$(n - 2)\times180=2340$, then $n-2=\frac{2340}{180}=13$, and $n = 15$.

For $S = 360^{\circ}$

$(n - 2)\times180=360$, then $n - 2=\frac{360}{180}=2$, and $n=4$.

For $S = 1620^{\circ}$

$(n - 2)\times180=1620$, then $n-2=\frac{1620}{180}=9$, and $n = 11$.

For $S = 900^{\circ}$

$(n - 2)\times180=900$, then $n-2=\frac{900}{180}=5$, and $n = 7$.

For $S = 1080^{\circ}$

$(n - 2)\times180=1080$, then $n-2=\frac{1080}{180}=6$, and $n = 8$.

Answer:

1. C. 15 - gon
2. B. Quadrilateral
3. E. 11 - gon
4. D. Septagon
5. A. Octagon

For question 6, from left - to - right, top - to - bottom: Octagon, Hexagon, Non - agon (9 - sided polygon), Octagon, Trapezoid (a type of quadrilateral).