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Alina [70]
3 years ago
12

The supplement of an angle is 10 more than twice the complement of the angle. find the angle.

Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Given a certain angle x, its complement is 90-x and its supplement is 180-x.

So, if the supplement of an angle is 10 more than twice the complement, you have

180-x = 2(90-x)+10

expand the right hand side:

180-x = 180-2x+10

We can simplify the 180 appearing on both sides:

-x = -2x+10

Add 2x to both sides

x = 10

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