Question

gene starts from home and travels 3 miles north to the shopping mall. from the shopping mall, he travels 2 miles west to the library. then, from the library, he travels about 3.6 miles to return home. the entire trip forms a triangle.
library mall
home
the largest angle formed during his trip is ______.
at his home
at the mall
between the mall and the library
between his home and the library

Explanation:

Step1: Identify triangle sides

Home-Mall: 3 miles; Mall-Library: 2 miles; Library-Home: ~3.6 miles.

Step2: Apply angle-side relationship

Largest angle is opposite the longest side (~3.6 miles, Library-Home). The opposite vertex is the mall.

Answer:

at the mall