In the following figure, cm, cm, cm, and cm. Find the values of and .
Given several coplanar parallel lines and two transversals, the lengths of the corresponding segments on the transversals are proportional. This means that . Since , it must be true that , and that . Use the fact that to solve for as follows:
Now use the fact that to solve for .
Thus, the value of is 8, and the value of is 9.