Question

The ratio of the measures of two supplementary angles is 1:29. Find the measure of each angle.

Answer 1

Given that the ratio of the measures of two supplementary angles is:

`1:29`

You need to remember that, by definition, the measures of Supplementary Angles add up to 180 degrees.

Therefore, you can represent 180 degrees as:

`1+29=30`

Then, you can determine that one of the angles is:

`\frac{180\text{\degree}}{30}=6\text{\degree}`

And the measure of the other angle is:

`180\text{\degree}-6\text{\degree}=174\text{\degree}`

Notice that the smaller angle is the one with the lowest measure.

Hence, the answer is:

`6\text{\degree}`