ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Geometry and Measurement Videos 88 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 2.3 Geometry and Measurement
267 Views

SAT Math 2.3 Geometry and Measurement. Find the length of AB.

See All

SAT Math 11.1 Geometry and Measurement 195 Views


Share It!


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….

Related Videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...

SAT Math: Which Equation Represents Profit?
13 Views

Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...