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

Given:
Two runways are parallel and a taxi way crosses both runways.
[tex]D8=127[/tex]Required:
We need to find the sum of the measures of D1 and D4.
Explanation:
We know that D8 and D4 are corresponding angles.
Recall that corresponding angles are congruent.
[tex]D8=D4[/tex]Substitute D8=127 in the equation.
[tex]D4=127[/tex]We know that D8 and D1 are alternate exterior angles.
Recall that alternate exterior angles are congruent.
[tex]D8=D1[/tex]Substitute D8=127 in the equation.
[tex]D1=127[/tex]Add D1 and D4.
[tex]D1+D4=127+127[/tex][tex]D1+D4=254[/tex]Final answer:
[tex]D1+D4=254[/tex]