Respuesta :

weAs we can see, from the figure, the angle [tex]m<\text{WXZ}=m<1+m<2[/tex]As we know, m[tex]m<1+m<2=85\~[/tex]And, we know that the angle <2 is 4 times <1, then:

[tex]m<2=4\times m<1[/tex]

we can replace m<2 into m<2+m<1=85°, and we get:

[tex]\begin{gathered} m<2+m<1=85\~ \\ 4m<1+m<1=85 \\ 5m<1=85 \end{gathered}[/tex]

And dividing both sides by 5, we get:

[tex]\begin{gathered} 5m<1=85 \\ \frac{5m<1}{5}=\frac{85}{5} \\ m<1=17\~ \end{gathered}[/tex]

Then, the m<1 equals 17°

Since we know that m<2=4*m<1, then:

[tex]\begin{gathered} m<2=4\times m<1 \\ m<2=4\times17 \\ m<2=68\~ \end{gathered}[/tex]

m<1 equals 17° and m<2 equals 68°