Question

practice what you’ve learned
an illusionist develops a plan to create an ames room. the left and right walls of the room are parallel. when a person stands below corner a, he or she appears to be very short. when a person stands below corner b, that person appears to be very tall. find the angle of the corner of the room located at point b.
what is ( mangle 3 )?
enter your answer in the box.
(square^circ)

Explanation:

Step1: Identify alternate interior angles

The left/right walls are parallel, so $\angle 1$ and $\angle 2$ are alternate interior angles, meaning $m\angle 2 = m\angle 1 = 44^\circ$.

Step2: Use linear pair for $\angle 2$ and $\angle 3$

$\angle 2$ and $\angle 3$ form a linear pair (sum to $180^\circ$).
$m\angle 3 = 180^\circ - m\angle 2$
$m\angle 3 = 180^\circ - 44^\circ$

Answer:

$136$