Question

this diagram of airport runway intersections shows two parallel runways. a taxiway crosses both runways. if d8 measures 127, what is the sum of the measures of d1 and d4? 127 307 106 254

Explanation:

Step1: Identify angle - relationships

Since the two runways are parallel and a transversal (taxi - way) crosses them, $\angle8$ and $\angle4$ are corresponding angles, so $\angle4=\angle8 = 127^{\circ}$.

Step2: Find the measure of $\angle1$

$\angle1$ and $\angle8$ are vertical - angles. Vertical angles are equal, so $\angle1=\angle8 = 127^{\circ}$.

Step3: Calculate the sum of $\angle1$ and $\angle4$

$\angle1+\angle4=127^{\circ}+127^{\circ}=254^{\circ}$

Answer:

254