Question

find the value of x for which r parallels s. then find the measures of angles 1 and 2 measure angle 1= 80-2xmeasure angle 2= 93-3xthe value of x for which r parallels s is....measure of angle 1 is.....°measure of angle 2 is.....°

Answer 1

Since the lines r and s are parallel the angles 1 and 2 must be equal

write an equation

`80-2x=93-3x`

solve the equation for x

`\begin{gathered} 80-2x=93-3x \\ -2x+3x=93-80 \\ x=13 \end{gathered}`

the value for x in which r and s are parallel must be 14

measure of angle 1 and 2 must be 54°