Question

Given: Lines p and q are parallel and r is a transversal. Prove: ∠2 ≅ ∠7

Answer 1

angle2 is not equal to angle7 because they are co-exterior angles.Co-exterior angles will never be equal.

Answer 2

Answer:

                ∠2 ≅ ∠7 is Concurrent

Step-by-step explanation:

Given:  

p and q are two parallel lines; whereas r is a transversal.

IMG

To Prove:

∠2 ≅ ∠7 (angles 2 and 7 are congruent)  

Solution:  

Concept: “opposite angles are equal; corresponding angles are equal”

From the Fig., It can be equated as,

       ∠2 ≅ ∠3                (opposite angles are equal)

       ∠3 ≅ ∠7                 (Corresponding angles are equal)  

Thus,  

       ∠2 ≅ ∠7                 (Angle 2 is congruent to angle 7)