Answer:
x=14/3
Step-by-step explanation:
According to the corresponding angles theorem, when parallel lines are cut by a transversal, the corresponding angles are congruent. These 3 lines are all parallel, so 70 = 12x +14.
Subtract 14 from both sides
56 = 12x
Divide both sides by 12
14/3 = x
x=14/3
220-220r=160
Solve for r to get the discount rate
r=0.2727
r=0.2727×100
r=27.27%
Check
220−220×0.2727
=160
Angles on the same side are the same, so angle 1 is 110°.
Angle 1 and 2 are supplementary, so they add up to 180. Since we know angle 1 is 110, angle 2 must be 70°
