Question

i dont understand how to get the answer of this problemThe question is: Using a protractor, draw a linear pair of angles in a 5:1 ratio.My teacher posted the answer key and the picture below is the answer I just don’t understand how to do the problem…

Answer 1

With a protractor, you can draw angles between 1° and 180°.

We need to draw a pair of angles in a 5:1 ratio, this means that the measure of one of the angles is 5 times the measure of the other. For example, if one angle is equal to 10° the other has to be equal to 50°.

In the image, your teacher suggested you draw a 30° angle and another equal to 150°

$\frac{150}{30}=5$

Then, the 5:1 ratio is preserved.

And remember that a linear pair of angles is the same as saying 'two adjacent angles that add up to 180°'

$150+30=180$

You can even write an equation to find out the angle.

$\begin{gathered} 5x+x=180 \\ \Rightarrow6x=180 \\ \Rightarrow x=30 \end{gathered}$

Then, one angle will be equal to 30° and the other 5*30°=150°