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kompoz [17]
3 years ago
11

The measure of one angle is 15 less than half the measurement of its supplement.

Mathematics
1 answer:
Travka [436]3 years ago
5 0

It is given in the question that

The measure of one angle is 15 less than half the measurement of its supplement.

Let the measurement of supplement angle is x degree.

So the measurement of the other angle is

\frac{x}{2} -15

And the sum of the measurement of supplementary angles is 180.

x+ \frac{x}{2} -15 =180
\\
\frac{3x}{2} = 195

Multiplying both sides by 2

3x = 390
\\
x = 130

So one angle is of measurement 130 degree and the other angle is of  measurement 50 degree.

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