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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.
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,
Full Transcript
- 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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