Question

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

Answer 1

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`