Please write and equation for this problem involving a triangle

Mathematics
Tutor: None Selected Time limit: 1 Day

Find the angles. The greatest angle of the triangle is 5 times as great as the least angle. The third angle is 18 degrees less than the greatest angle how many degrees aRe in each of the angles of the triangle?  I know the angles  18, 90, 72 but I can,t figure out how to write an equation. I did the guess and try approach but need an equation for proof. 

Jul 24th, 2015

Thank you for the opportunity to help you with your question!

total angles in a triangle add up to 180 degrees

so, let the least=x

      the greatest=5x, 3rd=5x - 18

sum=x + 5x + 5x -18=180

11x=198

x=18

5x=90

5x-18=72

so they are 18, 72 and 90 degrees

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 24th, 2015

Thank you  

Jul 24th, 2015

welcome my dear student

Jul 24th, 2015

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