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Anvisha [2.4K]
4 years ago
5

Find an angle who supplement is three times it’s complement. Can you also give it in an equation form?

Mathematics
1 answer:
Vikentia [17]4 years ago
5 0

Answer:

45°

Step-by-step explanation:

let the angle be x, then

The supplement of x is 180 - x and the complement of x is 90 - x, thus

180 - x = 3(90 - x) ← equation of model, that is

180 - x = 270 - 3x ( add 3x to both sides )

2x + 180 = 270 ( subtract 180 from both sides )

2x = 90 ( divide both sides by 2 )

x = 45

Thus required angle is 45°

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