ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

Exterior and Remote Interior Angles 6347 Views


Share It!


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.

Up Next

Surface Area of Cylinders
14740 Views

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

Related Videos

Perimeter of Irregular Shapes
4864 Views

Want to figure out the area and perimeter of irregular shapes? Break them down into regular shapes. For example, a flower can be broken down into s...

Introduction to 3D Geometry
55502 Views

It's one thing when all those shapes are sitting flat on the page. But when they start popping out and invading our personal space bubble, we get a...

An Introduction to 3D Geometry
812 Views

Does thinking about 3D Geometry get you bent out of shape? Never fear! Watch this video and figure out some fun new shapes to bend back into. We're...

ACT Math 3.5 Plane Geometry
394 Views

ACT Math: Plane Geometry Drill 3, Problem 5. How long would it take for the wheel to make two rotations?