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SAT Math 11.1 Geometry and Measurement 195 Views
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Description:
SAT Math 11.1 Geometry and Measurement. If y equals 117°, what is the measure of x?
Transcript
- 00:02
Here’s your shmoop du jour, brought to you by 90 degrees
- 00:06
Exactly 8 degrees less than these guys...
- 00:09
Line j is parallel to line k, and line l bisects angle ABC.
- 00:16
If y equals 117°, what is the measure of x?
- 00:22
Sure is a lot of buzz around this new “Point B” place.
Full 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….
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