Question

If the supplement of an angle is three times its complement, then angle is______

Answer 1

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⚫ Here is your answer ➡➡➡

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➡ supplement of an angle= 180-x

complement of an angle = 90-x

180-x= 3(90-x)

180-x = 270-3x

-x+3x = 270-180

2x=90

x=90/2

x = 45

◼ Answer is 45 ✔✔
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Answer 2

Hello Dear!!!!

Here's your answer...

Let,

the angle be x

sum of complementary angles is 90

then complementary angle is 90-x

sum of supplementary angle is 180

then supplementary angle is 180-x

Given that,

supplementary angle is 3 times its complement

180 - x = 3(90 - x)

180 - x = 270 - 3x

-x + 3x = 270 - 180

2x = 90

x = 90/2

x = 45

The measure of angle is 45

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