SAT Math 11.1 Geometry and Measurement. If y equals 117°, what is the measure of x?
|Coordinate Geometry||Slopes, Parallel and Perpendicular Lines|
|Problem Solving and Data Analysis||Key features of graphs|
|Product Type||SAT Math|
|SAT Math||Geometry and Measurement|
Every line and angle seems to be hanging out there…
…our guess is they’ve got some slammin’ fro yo.
…we’ve got angle y and angle ABC, which are alternate interior angles.
We know that because we’re told lines j and k are parallel.
So those two HAVE to add up to 180, by definition. We don’t know the measure of angle x…
…but we DO get the heads-up that line l bisects ABC… meaning that ABC equals 2x.
So, really…we’re looking at the equation y plus 2x equals 180.
We know y is 117 degrees… so
117 plus 2x equals 180.
Subtract 117 from both sides to get 2x = 63…
…then divide both sides by 2, and x equals 31.5 degrees.
Which is just a LITTLE warmer than the fro yo they’re serving at Point B.
The flavor’s good, but it’s a little on the drippy side….