Most children need consistent affection and security both home and in family relationships in order to feel secure and confident enough to move forward in their own lives - whether that be school, friendships or career. Some divorcing couples nowadays have gotten very good at getting advice and counselling so that these important needs are not overlooked or damaged by a split. If children feel over-ridden or forgotten or ignored they will act up in order to get the attention they need and deserve. acting up can result in delinquency such as missing school/program, vandalism,stealing,drug taking,alcohol or substance misuse. Oftentimes they will fill the void that their parents/family used to fill with an 'alternative family' compriosing a gang or damaging peer group.
This is a hard question to answer definitively because there are many factors that contribute to delinquency. I wonder if there is a specific answer in your text that your teacher expects you to find.
Overall, it seems as if the academic consensus is that divorce, per se, is not what causes juveniles to be delinquent. Instead, there are all sorts of other problems that go along with divorce but are not caused by the divorce. For example, look at this link. It talks about how marital discord is more important than divorce. In other words, a bad marriage is no better than a broken home.
In many cases exposure to conflict in the home can cause more problems than the divorce. However, research reveals that there is more delinquency in single family homes than with intact families. This can be attributed to the delicate balance of the family as it relates to the roles of mother and father. The human nature of a mother is to nurture and protect. The human nature of a father is to teach his children how to survive in the world. Unfortunately, the latter is left to the streets in single mother households which leads to delinquency.