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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 2.1 Geometry and Measurement 2779 Views


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Description:

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


Transcript

00:02

Here’s your shmoop du jour, brought to you by Transversals.

00:07

They cut more lines than film editors.

00:10

Line j is parallel to line k.

00:12

What is the measure of angle z in terms of x and y?

00:16

And here are the potential answers...

00:20

All righty…well, the first thing that jumps out at us is that there isn’t

00:22

a single number to be seen in the diagram provided.

00:29

It’s a good thing, then, that this problem asks for us to find z in terms of x and y…

00:34

The problem makes a big deal out of the fact that j and k are parallel…

00:38

So… why should we care that j and k are parallel?

00:41

Well, because they’re parallel, we know that the corresponding angles

00:45

created by a transversal are congruent.

00:48

That would be those two light saber-y lines that are creating our three angles.

00:53

In other words, because THIS angle is y degrees, then THIS angle must also be y degrees.

00:59

Same thing with our friend angle x over here.

01:02

So now, we’ve got three angles all on one side of a straight line.

01:05

A straight line, we know, creates an angle of 180 degrees…

01:09

…so angle z must be equal to 180 minus the measure of the other two angles combined.

01:16

Or… z = 180 – (x + y) Answer A.

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