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SAT Math 8.3 Geometry and Measurement 201 Views


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Description:

SAT Math 8.3 Geometry and Measurement

Language:
English Language

Transcript

00:02

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

00:07

It must be that lotion they’ve been using that makes them so supple…mentary.

00:14

Find the sum of angles N and O in terms of n.

00:21

Here are the potential answers...

00:26

Okay, so we’ve got this poor triangle, which is apparently being dragged along by a string…

00:31

All righty, so… we want to know the sum of the angles N and O…

00:36

in terms of angle…little n.

00:39

The “sum” part is important.

00:42

What that tells us is that we don’t need to figure out what N and O are individually…

00:47

…just what they equal, in relation to angle little n…together.

00:51

Well, the first thing we can figure out is the measure of angle M.

00:56

Since it’s adjacent to angle little n, and the two angles exist along a straight line…

01:01

…they are referred to as supplementary…

01:04

…meaning they total 180 degrees.

01:09

We also know that the three angles inside the triangle must total 180 degrees…

01:15

…so we can deduce that N and O combined… must make up the difference.

01:21

If M = 180 minus little n…

01:24

…and the sum of N and O equal 180 minus M…

01:28

…then we can plug the value for M into our new equation, and cancel out the 180’s…

01:32

…to find that angles N and O are equal to the measure of angle little n.

01:37

Boom…it's answer A.

01:38

Uh oh… the Triangle Humane Society just called. Better run, kid…

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