Question

a taxi way is being constructed that intersects two parallel runways at an airport. the $m\angle1 = 79^{\circ}$. what is the $m\angle2$?

1. $97^{\circ}$
2. $79^{\circ}$
3. $101^{\circ}$
4. $11^{\circ}$

Explanation:

Step1: Identify angle relationship

$\angle 1$ and $\angle 2$ are same-side interior angles formed by a transversal intersecting two parallel lines, so they are supplementary (sum to $180^\circ$).

Step2: Calculate $m\angle 2$

$m\angle 2 = 180^\circ - m\angle 1$
Substitute $m\angle 1 = 79^\circ$:
$m\angle 2 = 180^\circ - 79^\circ = 101^\circ$

Answer:

101°