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ACT Math: Plane Geometry Drill 4, Problem 3. What is the measure of each angle in the figure?
ACT Math 4.3 Plane Geometry 361 Views
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ACT Math: Plane Geometry Drill 4, Problem 3. What is the measure of each angle in the figure?
- Plane Geometry / Plane figures (triangles, rectangles, parallelograms, trapezoids, circles, polygons)
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Chinese Subtitled
- Foreign Language / Spanish Subtitled
- Plane Geometry / Properties of plane figures
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
Full Transcript
- 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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