One angle is 25 less than four times it's supplement. What is the measure of both angles?

Question

Wendy Knapp

Mathematics

31 August, 04:47

One angle is 25 less than four times it's supplement. What is the measure of both angles?

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Answers (1)

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Itsy · Answer 1

Let the first angle be x and the second be y.

Supplementary angles add up to 180, so:

x + y = 180

Also, as given in the statement:

x = 4y - 25

Substituting into the first equation:

4y - 25 + y = 180

5y = 205

y = 41

x = 4 (41) - 25

x = 139

One angle is 139° and the other is 41°.