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SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?
To prove lines are parallel, you need a third line. We at Shmoop (and the rest of the world) call it a transversal.
This video explores parallel lines and transversals: how to identify them both on a math test and in real life urban planning. What do the consecut...
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...
Full Transcript
- 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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