SOLUTION: one angle is 8 times its supplement, increased by 10. Find the measure of the smaller of the two angles

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Question 541936: one angle is 8 times its supplement, increased by 10. Find the measure of the smaller of the two angles
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Another geometry translation problem!

Let x be the small angle. Then it's supplement is 180-x

x=8%2A%28180-x%29%2B10

x=1440-8x%2B10

9x=1440%2B10

9x=1450

x=1450%2F9

1450/9 would be the larger angle. This is approximately 161.1....

The smaller angle would be its supplement.

180-1450%2F9

170%2F9 would be the exact answer. This is approximately 18.8....

So our answer makes sense because the sum of the two angles would be 180 degrees.

I hope this helps!