How many sides does a regular polygon have if one of it's interior angles measure 162?

Mathematics

2 answers:

julsineya [31]4 years ago

8 0

If you are given the measure of each interior angle (162 degrees) of a regular polygon. how many sides does the polygon have? If you look at a pentagon first where the interior angle is 108 deg then you see. The angle at the center is 180-162=18 deg and 360/18=20 so the polygon has 20 sides.
Hope this helps you !!

SashulF [63]4 years ago

5 0

Answer: 20 sides

Step-by-step explanation: The work is attached in the image provided.

You might be interested in

What is the slope of a line that passes through the points (12,7) and (-14,19)?

grandymaker [24]

Answer:

H) -6/13

Step-by-step explanation:

To find the slope of the line between a pair of two points, use the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so: