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Angles Videos 25 videos
Sure, Romeo and Juliet were a great pair, but they don't hold a candle to linear pairs. Find out more by clicking play.
This video explains the vertical angle theorem. Learn about supplementary angles, adjacent angles, and linear pairs, plus bungee jumping. Intersect...
FYI: cats don't like to get wet. Okay, so that fact won't be relevant every time you solve trig equations, but it happens to be this time.
Linear Pairs 875 Views
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Description:
Sure, Romeo and Juliet were a great pair, but they don't hold a candle to linear pairs. Find out more by clicking play.
Transcript
- 00:05
Linear Pairs, a la Shmoop. Marshall E. Mallow has spent decades building
- 00:11
Marshall-Mallow, Incorporated…
- 00:13
…a multi-million-dollar marshmallow empire. Being the president of a wealthy marshmallow
- 00:18
corporation has its advantages…
- 00:21
Fancy cruises, private jets, swanky banquets, and more s'mores than you'd think was humanly
Full Transcript
- 00:31
possible.
- 00:32
Of course, it has its downsides, too… Marshall knows that if he wants to rule the
- 00:36
marshmallow market for another 25 to 30 years, he'll need to take better care of himself.
- 00:40
So he hires a personal trainer who can whip him into shape.
- 00:47
When Marshall goes to the gym for his first workout…
- 00:49
…the personal trainer tells him to do sit-ups so that his back makes an angle with the floor…
- 00:55
…that is four-fifths times the measure of the angle his front side makes with the floor.
- 01:01
What are the measures of these angles? Before we do anything else, we should figure
- 01:06
out how these two angles are related.
- 01:08
Well, it shouldn't be too hard to tell that these two angles are linear pairs…
- 01:12
…Two supplementary adjacent angles formed by intersecting lines.
- 01:17
Since linear pairs are supplementary, their measures add up to 180 degrees.
- 01:25
Since one angle is four-fifths the measure of the other, we can set one angle to equal
- 01:30
x and the other to equal four-fifths x.
- 01:34
And because we know the two angles add up to 180 degrees, we can set up the equation
- 01:40
"x plus four-fifths x equals 180" and solve for x.
- 01:46
Adding the two x terms together gives us nine-fifths x equals 180.
- 01:50
If we multiply both sides by five ninths, we'll get our answer: x equals 100.
- 02:15
That's the measure of one of the angles: 100 degrees. But what about the other?
- 02:20
We have two ways to find the measure of the other angle.
- 02:23
We can either multiply 100 by four-fifths because we know that the remaining angle is
- 02:27
four-fifths times x…
- 02:29
…or, since the two angles have to add up to 180 degrees, we can subtract 180 by 100
- 02:35
and see what's left over.
- 02:37
In both cases, we should get 80 degrees as the other angle.
- 02:40
Mr. Mallow has to do sit-ups so that his back makes an 80-degree angle with the floor and
- 02:45
his front makes a 100-degree angle.
- 02:47
No sweat! Well, maybe a little sweat for Marshall E. Mallow.
- 02:51
Feel the burn, Marshall!
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