Two angles are supplementary and one of the angles is five times the smaller angle, what is the measure of the larger angle

Question

Mathematics

Chewbacca

25 December, 01:30

Two angles are supplementary and one of the angles is five times the smaller angle, what is the measure of the larger angle

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Answers (1)

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London Gill · Answer 1

Let x be the bigger angle

y the smaller angle

x + y = 18 supplementary

x = 5y

we replace quation 2 in equation 1 so

5 y + y = 180

6y = 180

y = 30

and x = 5y = 5*30 = 150