Question

If a || b, m<2=63°, and m<9=105°, find the missing measure of m<5=?

Answer 1

Looking at the image, we can see that m∠2 and m∠5 are vertical angles.

Since m∠2 and m∠5 are vertical angles, they are congruent, so we have:

`\begin{gathered} m\angle5=m\angle2 \\ m\angle5=63\degree \end{gathered}`

So the measure of angle ∠5 is 63°.