Question

this diagram of airport runway intersections shows two parallel runways. a taxiway crosses both runways. which angles are congruent to ∠7? explain. a. angle 6; vertical angles are congruent. angle 2; alternate exterior angles are congruent. angle 3; corresponding angles are congruent. b. angle 6; vertical angles are congruent. angle 1; alternate exterior angles are congruent. angle 3; corresponding angles are congruent. c. angle 6; vertical angles are congruent. angle 2; alternate exterior angles are congruent. angle 3; alternate interior angles are congruent. d. none of these

Explanation:

Step1: Vertical angles

Vertical angles are congruent. \(\angle7\) and \(\angle6\) are vertical angles, so \(\angle7\cong\angle6\).

Step2: Alternate exterior angles

When two parallel lines are cut by a transversal, alternate exterior angles are congruent. \(\angle7\) and \(\angle2\) are alternate exterior angles, so \(\angle7\cong\angle2\).

Step3: Corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. \(\angle7\) and \(\angle3\) are corresponding angles, so \(\angle7\cong\angle3\).

Answer:

A. Angle 6; vertical angles are congruent. Angle 2; alternate exterior angles are congruent. Angle 3; corresponding angles are congruent.