SAT Math 4.3 Geometry and Measurement
|Other Polygons||Angles in a Polygon|
|Passport to Advanced Math||Graphing nonlinear relationships|
|Product Type||SAT Math|
|SAT Math||Geometry and Measurement|
…but don’t come crying to us next time you and your friend have a hexagonal cake
that you want to divide evenly between the two of you.
All right, so let’s call line k the knife that’s being used to cut two completely equal, fair slices.
For starters, how do we figure out how many angles there are in a hexagon?
Well, we know there are 180 in a triangle…
…and 360 in a square…
…seems like we keep adding 180 degrees for each side we introduce.
You can always use “number of sides minus 2 times 180” to find the total number of
degrees in a polygon…
…which, in this case, is 6 minus 2, or 4, times 180… which is 720.
720 total degrees… divided among 6 angles… means that each angle is 120 degrees.
But remember – our knife…er, line… is bisecting that angle…
which slices it perfectly in half.
Half of 120 is 60… and that’s the measure of angle x.
Our solution is choice B.
As in “Birthday cake for twins.”