Question

4. If the measure of the exterior angles of a regular polygon is 60 degrees , how many sides does the polygon have?



5. The angle sum in a regular 5 -gon is _______.
A) 180*5
B) 180 * 4
C) 180 * 3
D) None of the other choices

Answer 1

d

Answer 2

HOw @ngocthi0101

Answer 3

yes, explain!?

Answer 4

a+b+c+d+e = 360

Answer 5

Recall: for a convex polygon, the sum of the exterior angles will always be 60. If a polygon is regular, all of its exterior angles will be equal. So,

m of ext angle in a reg polygon = 360/n where n is the number of sides. Transforming the equation, we can discover that:

number of sides/vertices/angles/whatever you wanna call it = 360/m of ea ext angle
= 360/60 = 6

Answer 6

THM: sum of int angles in a convex polygon with n sides is (n - 2)180

Plugging in our value of n which is 5, we get 3*180 = 180*3 so the answer is C.

Answer 7

would i use this formula? (n-2) × 180°

Answer 8

thank you, bluepig

Answer 9

The measure of an exterior angle in a regular 11-gon is _______.

The measure of a vertex angle in a regular 15 -gon is ________.

Answer 10

You know enough now to solve the first question. You know enough to figure out how to solve the second one, but you'll need to think a bit. I think it'll be more rewarding if you do it yourself and you're definitely capable of it.

Answer 11

checking my answers

Answer 12

360/11 approx = 32.727

(15 - 2)180/15 = 13*180/15 = 156