Question 1163628
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I'm somewhat surprised that both the responses you have received use the same solution method, which is far more work than necessary....<br>
The measure of one angle is 89 times the measure of the other; and the two are supplementary.<br>
So let the measures be x and 89x.  Then<br>
{{{x+89x = 180}}}
{{{90x = 180}}}
{{{x = 2}}}<br>
ANSWER: the two angles are x=2 degrees and 89x=178 degrees.<br>