Exterior and Remote Interior Angles by Shmoop

Exterior and Remote Interior Angles by Shmoop


Exterior and Remote Interior Angles, a la
Shmoop Ever since you were a little kid, the Bermuda
triangle has intrigued you. Come on…a mysterious triangle in the Atlantic
where pretty much everything disappears… …possibly into alternate dimensions? Awesome.
After years of taking navigation classes, sailing lessons, and overcoming
your intense seasickness… …you’ve been accepted to join an expedition
to the Bermuda triangle! You leave from Texas, traveling across the
Gulf of Mexico toward the Bermuda triangle. You can barely contain your excitement when
the Captain asks if you want to steer the ship. Before you do, though, he needs you to find
the measure of the angle made by the ship, Miami, and San Juan. If the interior angles of the Bermuda triangle
are 62 degrees and 85 degrees, what’s the measure of this angle? The angle we’re looking at is an exterior angle… …an angle formed by extending one of the
sides of the triangle. The two angles that are inside the triangle
and opposite from the exterior angle are called remote interior angles. To find the measure of the angle,
we can use the Exterior Angle Theorem. The Exterior Angle Theorem tells us that the
measure of an exterior angle equals the sum of its two remote interior angles… …since both are supplementary to
the remaining interior angle. Our two remote interior angles are
62 and 85 degrees… …so the exterior angle has a measure of
62 degrees plus 85 degrees… …or 147 degrees. Now you can safely make it into the depths
of the Bermuda Triangle. Make sure you send us a postcard
from your wormhole.


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