SOLUTION: An angle has a measure of 2x+20 and its vertical angle has a measure of 5x-34. Find the measure of each.

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Question 1022965: An angle has a measure of 2x+20 and its vertical angle has a measure of 5x-34. Find the measure of each.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Since vertical angles are equal, we can write
2x + 20 = 5x - 34
Now solve for x...
Subtract 2x and add 34 to each side and get
54 = 3x
Now divide by 3 and get
x = 18
so that
2(18) + 20 = 56 degrees