# SAT Math 11.1 Geometry and Measurement

SAT Math 11.1 Geometry and Measurement. If y equals 117°, what is the measure of x?

 Circles Central Angles Coordinate Geometry Slopes, Parallel and Perpendicular Lines Geometry Angles Problem Solving and Data Analysis Key features of graphs Product Type SAT Math SAT Math Geometry and Measurement

### Transcript

00:25

Every line and angle seems to be hanging out there…

00:27

…our guess is they’ve got some slammin’ fro yo.

00:31

…we’ve got angle y and angle ABC, which are alternate interior angles.

00:37

We know that because we’re told lines j and k are parallel.

00:40

So those two HAVE to add up to 180, by definition. We don’t know the measure of angle x…

00:47

…but we DO get the heads-up that line l bisects ABC… meaning that ABC equals 2x.

00:55

So, really…we’re looking at the equation y plus 2x equals 180.

01:01

We know y is 117 degrees… so

01:04

117 plus 2x equals 180.

01:07

Subtract 117 from both sides to get 2x = 63…

01:11

…then divide both sides by 2, and x equals 31.5 degrees.

01:16

Which is just a LITTLE warmer than the fro yo they’re serving at Point B.

01:19

The flavor’s good, but it’s a little on the drippy side….