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ACT Math 4.3 Plane Geometry 361 Views


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Description:

ACT Math: Plane Geometry Drill 4, Problem 3. What is the measure of each angle in the figure?

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Transcript

00:02

And here's your shmoop du jour...

00:04

What is the measure of each angle in a regular 12 sided figure?

00:08

Here are your options...

00:11

Okay, so we want to know the measure of each angle in a regular 12 sided figure

00:16

and because it's technically regular we know

00:20

all angles will be equal to start we can use our handy dandy formula for the

00:24

total angle measure of a polygon

00:26

180 times N -2 with N being the number

00:31

sides a polygon to determine that the total angle measure

00:34

the figure is 180 times the quantity 12-2

00:38

This multiplies out to a whopping 1,800 degrees

00:43

all we have to do from here is divide the total angle measure

00:46

by that number of sides. We get 1800 divided by 12 which equals

00:51

150. So each angle measures a 150 degrees.

00:55

Answer choice A.

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