Question

this diagram of airport runway intersections shows two parallel runways. a taxiway crosses both runways. if ∠8 measures 127, what is the sum of the measures of ∠1 and ∠4? 127 307 176 254

Explanation:

Step1: Identify angle - relationships

Since the two runways are parallel and a trans - versal (taxiway) crosses them, ∠8 and ∠4 are corresponding angles. So, m∠4=m∠8 = 127°.

Step2: Identify supplementary angles

∠1 and ∠4 are supplementary angles (linear pair). So, m∠1=180 - m∠4. Substituting m∠4 = 127°, we get m∠1=180 - 127=53°.

Step3: Calculate the sum

The sum of m∠1 and m∠4 is 53+127 = 180°.

Answer:

180