Answer:
x=8
Step-by-step explanation:
Angles 1 and 5 are corresponding angles.
If angles 1 and 5 are congruent, then the lines are parallel.
This means the measurement of angle 1 needs to equal the measurement of angle 5.
This is the equation we must solve:
3x+10=4x+2
Subtract 3x on both sides:
10=1x+2
Subtract 2 on both sides:
8=1x
Use multiplicative identity property:
8=x
So if x=8, then the angles 1 and 5 which are corresponding are congruent.
If corresponding angles are congruent, then the lines are parallel.
