what are the measures of angles 1,2 and 3

Answer :

Answer:

[tex]\begin{gathered} m\angle1=59^o \\ m\angle2=61^o \\ m\angle3=119^o \end{gathered}[/tex]

Explanation:

Angles 2 and 61 are alternate interior; therefore, their measures are equal.

[tex]m\angle=61^o[/tex]

The angles 1 2 and 60 are supplementary (meaning they must add up to 180); therefore,

[tex]m\angle1+m\angle2+60^o=180^o[/tex][tex]m\angle1+61^o+60^o=180^o[/tex][tex]m\angle1=121^o=180^o[/tex]

subtracting 1