Question

How do you solve... Find the measure of an angle if its supplement measures 10 more then three times its complement.

Answer 1

Call the angle x. It's complement is: 90-x (complementary angles add up to 90):


it's supplement is: 180-x since supplementary angles add to 180

its supplement measures 10 more then three times its complement:
supplement = 3*complement + 10 which is, using the supplementary and complementary angles above....
\[\Large 180-x = 3(90-x) + 10\]

Answer 2

So the answer would be 50?

Answer 3

Good job :)