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

M WXZ81 And M 2 Is 23 More Than M 1 Find M 1 class=

Sagot :

[tex]\begin{gathered} m\angle1+m\angle2=m\angle WXZ \\ m\angle1=m\angle WXZ-m\angle2 \\ m\angle1=81-m\angle2 \end{gathered}[/tex]

Besides, we have that

[tex]m\angle2=23+m\angle1[/tex]

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

[tex]\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}[/tex]

Then the angle 1 has measure 21 degrees.

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