Determine the value of x for which r is parallel to s if m angle 1 = 60-2x and m angle 2=70-4x

Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]m\angle1=60-2x[/tex] and [tex]m\angle2=70-4x[/tex] are corresponding angles.
Since corresponding angles are congruent, we have
[tex]70-4x=60-2x[/tex]
Group similar terms to get;
[tex]70-60=-2x+4x[/tex]
[tex]10=2x[/tex]
[tex]5=x[/tex]