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°.