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

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 class=

Respuesta :

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]

Ver imagen KamariiU38569