MATH SOLVE

2 months ago

Q:
# (( I will give 25 points and brainy for right answers (Please answer all!!) CORRECTLY~!!!))(Use first image) 1. Which are the correct classification for the polygon? A. Convex PentagonB. Concave PentagonC. Convex Hexagon D. Concave Hexagon 2. The sum of the measures of the interior angles of a convex polygon is 2160° How many sides does the polygon have?A. 12B. 13C. 14 D. 153. The sum of the measures of the interior angles of a convex polygon is 3060°How many sides does the polygon have?A. 15B. 17 C. 18 D. 19 4. What is the measure of each interior angle of a regular 15-gon?A. 108°B. 120°C. 156°D. 167°(PLEASE ANSWER ALL CORRECTLY!!!!!))

Accepted Solution

A:

1. D. Concave Hexagon

2.

(n - 2)180 = 2160

n - 2 = 12

n = 14

C. 14

3.

(n - 2)180 = 3060

n - 2 = 17

n = 19

D. 19

4.

[(n - 2)180]/n =

= [(15 - 2)180]/15

= 13(180)/15

= 156

C. 156°

2.

(n - 2)180 = 2160

n - 2 = 12

n = 14

C. 14

3.

(n - 2)180 = 3060

n - 2 = 17

n = 19

D. 19

4.

[(n - 2)180]/n =

= [(15 - 2)180]/15

= 13(180)/15

= 156

C. 156°