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We love scribbling as much as the next person, so we decided to scribble together about lines! Enjoy!
Ah, the Pythagorean Theorem. Pythagoras’ masterpiece. All his other theorems pale in comparison to this one.
So what's our angle? We want to help you learn about angles. Really—that's it. Shmoop has distilled our angle knowledge into a short video that w...
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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