Question 627834
Let x = degree measure of angle I
so x/5 = degree measure of angle K
Since they form a linear pair, their sum is 180 degrees.
{{{x + x/5 = 180}}}, multiply both sides by 5
{{{5x + x = 900}}}
{{{6x = 900}}}
{{{x = 150}}} and {{{x/5 = 30}}}

Answer: Angle I measures 150 degrees and Angle K measures 30 degrees.