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Basic Geometry Videos 26 videos

Surface Area of Cylinders
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Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?

Geometría 3D
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Es una cosa cuando todas esas figuras geométricas están puestas en un pie de la página, pero cuando estas empiezan a expanderse y a invader nues...

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Exterior and Remote Interior Angles 6348 Views


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Description:

Unlike anything that enters the Bermuda Triangle, Exterior angles can be found—in more than one way. This video covers how to use the remote interior angles of a triangle to find the exterior angle using the Exterior Angle Theorem.

Language:
English Language

Transcript

00:04

Exterior and Remote Interior Angles, a la Shmoop

00:08

Ever since you were a little kid, the Bermuda triangle has intrigued you.

00:13

Come on...a mysterious triangle in the Atlantic where pretty much everything disappears...

00:17

...possibly into alternate dimensions?

00:19

Awesome. After years of taking navigation classes,

00:23

sailing lessons, and overcoming your intense seasickness...

00:27

...you've been accepted to join an expedition to the Bermuda triangle!

00:32

You leave from Texas, traveling across the Gulf of Mexico toward the Bermuda triangle.

00:37

You can barely contain your excitement when the Captain asks if you want to steer the ship.

00:42

Before you do, though, he needs you to find the measure of the angle made by the ship,

00:47

Miami, and San Juan.

00:49

If the interior angles of the Bermuda triangle are 62 degrees and 85 degrees,

00:55

what's the measure of this angle?

00:58

The angle we're looking at is an exterior angle...

01:02

...an angle formed by extending one of the sides of the triangle.

01:07

The two angles that are inside the triangle and opposite from the exterior angle

01:11

are called remote interior angles.

01:15

To find the measure of the angle, we can use the Exterior Angle Theorem.

01:19

The Exterior Angle Theorem tells us that the measure of an exterior angle equals the sum

01:25

of its two remote interior angles...

01:28

...since both are supplementary to the remaining interior angle.

01:33

Our two remote interior angles are 62 and 85 degrees...

01:37

...so the exterior angle has a measure of 62 degrees plus 85 degrees...

01:43

...or 147 degrees.

01:46

Now you can safely make it into the depths of the Bermuda Triangle.

01:50

Make sure you send us a postcard from your wormhole.

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