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Congruence and similarity Videos 8 videos

SAT Math 10.4 Geometry and Measurement
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SAT Math 10.4 Geometry and Measurement. What is the perimeter of triangle DEF?

SAT Math 3.2 Geometry and Measurement
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SAT Math 3.2 Geometry and Measurement

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

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SAT Math 2.1 Geometry and Measurement 2779 Views


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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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