Chapter 3.5, Problem 1BCYP

To determine

To state the postulate or theorem justify the answer.

  $\angle 3\cong \angle 11$

Answer to Problem 1BCYP

Theorem- when two lines are cut by a transversal and corresponding angles are congruent, then lines are parallel.

Explanation of Solution

Given information:

Figure

  $\angle 3\cong \angle 11$

Figure

In figure parallel lines are

  $a\left|\right|b$

And $l\left|\right|m$

Theorem- when two lines are cut by a transversal and corresponding angles are congruent, then lines are parallel.

From above theorem

Corresponding angle $\angle 3$ on transversal a of line l and angle $\angle 11$ on transversal a of line m are congruent.

Then

  $\angle 3\cong \angle 11$

Hence, $\angle 3\cong \angle 11$ are congruent.