The trees can be considered as vertical lines which are parallel.
m∠2=104^(∘) Explanation: See solution.
Practice makes perfect
We can consider the trees as two vertical parallel lines and the rope as a transversal cutting those lines. Let's illustrate this in a diagram.
We identify the two angles, ∠2 and 76 ^(∘), as consecutive interior angles. According to the Consecutive Interior Angles Theorem, if two parallel lines are cut by a transversal, then the pair of consecutive interior angles are supplementary. Therefore, we can write and solve the following equation:
m∠2+76^(∘) =180^(∘) ⇔ m∠2=104^(∘).
