Find the value of approximated to the nearest hundredth, if needed.
Step 1: Find .
and form a straight angle, so they are supplementary (with a sum of ). To find , subtract from .
Step 2: Establish that and are similar.
If two angles of one triangle are equal in measure to two angles of another triangle, then the triangles are similar.
Since and , therefore and must be similar.
Step 3: Find the length of .
Since the triangles are similar, their side lengths are proportional to each other.