Question

problem solving

1. a group of campers tie up their food between two parallel trees, as

shown. the rope is pulled taut, forming a straight line. find ( mangle 2 ). explain
your reasoning. (see example 5.)

Explanation:

Step1: Identify angle relationship

The trees are parallel, and the rope is a transversal. The 76° angle and ∠2 are same-side interior angles, which are supplementary.

Step2: Calculate m∠2

Use supplementary angle sum: $m\angle2 + 76^\circ = 180^\circ$
$m\angle2 = 180^\circ - 76^\circ$

Answer:

$104^\circ$