Question

The measure of an angle is eighty-nine times the measure of a supplementary angle. What is the measure of each angle?

Answer 1

Supplementary angles add up to 180°.

$x+89x=180^\circ \\ 90x=180^\circ \ \ \ |\div 90 \\ x=2^\circ \\ \\ 89x=89 \times 2^\circ=178^\circ$

The measures of the angles are 2° and 178°.