8. The local radio station surveyed listeners and asked about their favorite type of music. The results showed that 72 people liked rock music the most. This number represented 45% of the total number of listeners
surveyed. How many total listeners did the radio station survey?

Will give are given that xy is parallel to zw. if xz is a transversal that intercepts xy and zw, angle angle alternate interior angles. since xy is parallel to zw, we know that these angles are we also know that angle xvy and angle zvw are , and thus congruent. we can conclude that △xyv ~ △zwv using the similarity theorem.