100k views
3 votes
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-example-1
User Lazyguy
by
7.0k points

1 Answer

4 votes

Given:

Two runways are parallel and a taxi way crosses both runways.


D8=127

Required:

We need to find the sum of the measures of D1 and D4​.

Step-by-step explanation:

We know that D8 and D4 are corresponding angles.

Recall that corresponding angles are congruent.


D8=D4

Substitute D8=127 in the equation.


D4=127

We know that D8 and D1 are alternate exterior angles.

Recall that alternate exterior angles are congruent.


D8=D1

Substitute D8=127 in the equation.


D1=127

Add D1 and D4.


D1+D4=127+127
D1+D4=254

Final answer:


D1+D4=254

This diagram of airport runway intersections shows two parallel runways. A taxiway-example-1
User Solomon Duskis
by
7.3k points