SOLUTION: one of 2 complementary angles has a measure that is 6 more than twice the other'. find the measure of the larger angle

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Question 89309This question is from textbook Geometry for enjoyment and challenge
: one of 2 complementary angles has a measure that is 6 more than twice the other'. find the measure of the larger angle This question is from textbook Geometry for enjoyment and challenge

Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website!
Complementary angles add up to 90 degrees
Let x=the smaller angle
Then 2x+6=larger angle
Our equation to solve is:
x+2x+6=90 subtract 6 from both sides
x+2x+6-6=90-6 collect like terms
3x=84 divide both sides by 3
x=28 degrees--------------the smaller angle
2x+6=2*28+6=62 degrees -------------------the larger angle
CK
28+62=90
90=90
also
62=2*28+6
62=62
Hope this helps---ptaylor