Question

The measure of an angle is twenty-nine times the measure of the supplementary angle. what are the measures of both angles?

Answer 1

Let's say $x$ is the measure of the first angle and $y$ is measure of the supplement of $x$. We know that supplementary angles add up to 180°, so $x + y=180$. We also know that $x = 29y$. Therefore, $29y+y=180$. It follows that $y = 6$, therefore, the first angle is 174° and the second angle is 6°.