SOLUTION: A pleasant day! please help me find the missing measure of triangle GHI if angle H is 2x+ 5 degrees and angle I is x-2 degrees. What is the measure of angle G? Thank you very much!

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Question 648243: A pleasant day! please help me find the missing measure of triangle GHI if angle H is 2x+ 5 degrees and angle I is x-2 degrees. What is the measure of angle G? Thank you very much!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

as you already know, the sum of angles in triangle is 180
so, G%2BH%2BI=180
if angle H+=2x%2B+5 and angle I=x-2, then
G%2B%282x%2B+5%29%2B%28x-2%29=180
G=180-2x-5-x%2B2
G=180-3x-3
G=177-3x