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Geometry and Measurement Videos 88 videos

SAT Math 1.1 Geometry and Measurement
719 Views

SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?

SAT Math 1.2 Geometry and Measurement
246 Views

SAT Math: Geometry and Measurement Drill 1, Problem 2. If A = (0, 4), B = (-3, 2), and C = (1, 0), which point is in the interior of angle ABC?

SAT Math 2.3 Geometry and Measurement
267 Views

SAT Math 2.3 Geometry and Measurement. Find the length of AB.

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SAT Math 4.3 Geometry and Measurement 257 Views


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Description:

SAT Math 4.3 Geometry and Measurement

Language:
English Language

Transcript

00:03

Here’s your shmoop du jour, brought to you by hexagons.

00:06

We don’t know what it is, but every time we're confronted with one of these things, we bolt.

00:12

Line k bisects the angles of this regular hexagon that it intersects. Find x.

00:17

Here are the potential answers...

00:21

You may not see how this problem can possibly have any real life application…

00:25

…but don’t come crying to us next time you and your friend have a hexagonal cake

00:29

that you want to divide evenly between the two of you.

00:32

All right, so let’s call line k the knife that’s being used to cut two completely equal, fair slices.

00:41

For starters, how do we figure out how many angles there are in a hexagon?

00:45

Well, we know there are 180 in a triangle…

00:48

…and 360 in a square…

00:50

…seems like we keep adding 180 degrees for each side we introduce.

00:54

You can always use “number of sides minus 2 times 180” to find the total number of

00:59

degrees in a polygon…

01:00

…which, in this case, is 6 minus 2, or 4, times 180… which is 720.

01:05

720 total degrees… divided among 6 angles… means that each angle is 120 degrees.

01:11

But remember – our knife…er, line… is bisecting that angle…

01:16

which slices it perfectly in half.

01:18

Half of 120 is 60… and that’s the measure of angle x.

01:21

Our solution is choice B.

01:23

As in “Birthday cake for twins.”

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