Question

M WXZ=81°, and m 2 is 23° more than m 1. Find m 1.

Answer 1

$\begin{gathered} m\angle1+m\angle2=m\angle WXZ \\ m\angle1=m\angle WXZ-m\angle2 \\ m\angle1=81-m\angle2 \end{gathered}$

Besides, we have that

$m\angle2=23+m\angle1$

If we replace this equation in the previous one, we have

$\begin{gathered} m\angle1=81-(23+m\angle1) \\ m\angle1=81-23-m\angle1 \\ 2m\angle1=58 \\ m\angle1=\frac{58}{2} \\ m\angle1=21 \end{gathered}$

Then the angle 1 has measure 21 degrees.