Chapter 12.2, Problem 13E

To determine

To find: the angles have same measure as $\angle 1$

Answer to Problem 13E

  $\angle 4$ , $\angle 5$ , $\angle 8$ have the same measure as $\angle 1$ .

Explanation of Solution

Given information: A transversal line intersects a parallel line.

Concept used: If a transversal line intersect a parallel line, the corresponding angles are equal, alternate exterior angles are equal. Vertically opposite angles are equal.

  $\angle 1=\angle 4$ (Vertically opposite angels)

  $\angle 1=\angle 5$ (Corresponding angles)

  $\angle 1=\angle 8$ (Alternate exterior angles)

  $\angle 4$ , $\angle 5$ , $\angle 8$ have the same measure as $\angle 1$ .