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SAT Math 8.2 Geometry and Measurement 233 Views


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Description:

SAT Math 8.2 Geometry and Measurement

Language:
English Language

Transcript

00:03

Here’s your shmoop du jour, brought to you by an insane number of angles.

00:07

Seriously…these angles should be locked up in an institution.

00:11

Lines l and m are parallel, and lines j and k are parallel.

00:15

If angle 1 is 130°, how many angles are equal to 60°?

00:22

Here are the potential answers...

00:26

Wowsers. What a madcap, dizzying patchwork of lines and angles we have to deal with here.

00:30

So this problem is really just testing what we know about angles and transversals.

00:36

When we have a couple of parallel lines, and we slice through ‘em with another line…

00:39

we create a bunch of similar angles every which way.

00:43

In other words, which angles equal which other angles when a transversal comes along and cuts things up?

00:48

Well, let’s start with the angles directly adjacent to angle 1.

00:52

We’re told this angle is 130 degrees…which means that both of the angles right next to

00:56

it must be 50 degrees each… since they exist along a straight line.

01:00

We know the angle across from it – angle 3 – is also 130 degrees… either because

01:05

we get this result by subtracting the other three angles from 360.

01:09

It looks like ALL of our angles here are going to be either 130 or 50 degrees…

01:14

…which leaves room for absolutely zero of them to have a measure of 60 degrees.

01:19

That was a trick question. So, the answer is A.

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