Question 626872
Let x = measure of one angle
Since the angles are supplementary, the other angle measures 180 - x.
Their difference is 34 degrees so
{{{x - (180 - x) = 34}}}
{{{2x-180 = 34}}}
{{{x = 107}}} and {{{180 - x = 180 - 107 = 73}}}
The angles are 107 degrees and 73 degrees.