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Geometry and Measurement Videos 87 videos

SAT Math 1.1 Geometry and Measurement
719 Views

SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?

SAT Math 1.2 Geometry and Measurement
246 Views

SAT Math: Geometry and Measurement Drill 1, Problem 2. If A = (0, 4), B = (-3, 2), and C = (1, 0), which point is in the interior of angle ABC?

SAT Math 1.3 Geometry and Measurement
231 Views

SAT Math 1.3 Geometry and Measurement. Find the length of CE.

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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.

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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