Triangle algebra

Question

In triangle GHI the sum of the three angles is 180 degrees. Six times the measure of angle G minus twice the measure of angle H increased by the measure of angle I is 155 degree. If the measure of angle H more than 8 times the measure of angle G is 250 degrees , find the three angle measures 

Answer 1

Very awkwardly expressed given conditions--especially in the third sentence.  Consequently I will only offer three equations that I think might have been intended.

 

g+h+i = 180

6g - 2h + i = 155

h + 8g = 250 (??)

 

Whatever the three equations are, you have 3 variables & 3 distinct equations, and that's a system that can be solved.

But because of the ambiguities possible in reading sentences 2 & 3 (especially 3), I will proceed no further.