Question

PLEASE HELP!!

Given: e || f and g is a transversal
Prove: 1 8


Given that e || f and g is a transversal, we know that 4 5 by the alternate interior angles theorem. We also know that 1 4 and 8 5 by the . Therefore, 1 8 by the transitive property.

Answer 1

verticle angles theorem

Explanation:

hope this helps :)

Answer 2

Vertical angle property

Explanation:

We are given that e is parallel to f and g is a transversal. Using the alternate interior angles property, ∠4=∠5 which is given.

Since, g is a transversal of the two parallel lines e and f, then ∠1=∠4 and ∠8=∠5 by the vertical opposite angle property.

Hence, ∠1≅∠8 by the transitive angle property.