Question

1. this diagram of airport runway intersections shows two parallel runways. a taxiway crosses both runways. if ∠8 measures 119, what is the sum of the measures of ∠1 and ∠4? ○a 119 ○b 238 ○c 122 ○d 299

Explanation:

Step1: Find the measure of ∠4

Since ∠8 and ∠4 are vertical angles, they are equal. So, ∠4 = 119°.

Step2: Find the measure of ∠1

∠8 and ∠1 are corresponding angles. Since the two runways are parallel, ∠1 = ∠8 = 119°.

Step3: Calculate the sum of ∠1 and ∠4

Sum = ∠1 + ∠4 = 119° + 119° = 238°.

Answer:

B. 238