Question 54924
You have the right answer.
The sum of the three angles is 180, so the sum of the two unknown angles is 180-70 = 110 degrees.

Call these angles a and b, so a+b = 110 and a/b = 5/6, so you can solve for a and b.

{{{a+b = 110}}} and:
{{{a/b = 5/6}}} Solve this for a:
{{{a = 5b/6}}} and substitute for a in the first equation.
{{{(5b/6)+b = 110}}} Simplify by multiplying through by 6.
{{{5b+6b = 660}}}
{{{11b = 660}}}
{{{b = 60}}} and {{{a = 110-60}}} = 50

The sum of the two largest angles is:
70 + 60 = 130 degrees.