Question

If Angle 3 is 38 degrees, what is the measure of angle 8?

Answer 1

Angle 3 and Angle 8 form a linear pair.

Linear Pair is a pair of angles that form a straight angle.

A straight angle is 180 degrees.

Now,

We can write:

$\angle3+\angle8=180\degree$

We know Angle 3 is 38, so we substitute and figure out Angle 8. Shown below:

$\begin{gathered} \angle3+\angle8=180\degree \\ 38\degree+\angle8=180\degree \\ \angle8=180-38 \\ \angle8=142\degree \end{gathered}$