Question

An angle measures 4º more than the measure of its supplementary angle. What is the

measure of each angle?

Answer 1

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Suppose ;

`the \: angle \: = \: x`

Thus the supplementary of x is :

`180 - x`

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x angle measures 4° more than its supplementary ;

So :

`x - (180 - x) = 4`

`x - 180 + x = 4`

`2x - 180 = 4`

Add sides 180

`2x - 180 + 180 = 4 + 180`

`2x = 184`

Divided sides by 2

`(2)/(2)x = (184)/(2) \\`

`x = 92`

Thus the angles measures

are : 92° and 88°

DONE....

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