SAT Math 4.3 Geometry and Measurement

SAT Math 4.3 Geometry and Measurement

GeometryPolygons
LanguageEnglish Language
Other PolygonsAngles in a Polygon
Passport to Advanced MathGraphing nonlinear relationships
PolygonsRegular Polygons
Product TypeSAT Math
SAT MathGeometry and Measurement

Transcript

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.”