Chapter 3.5, Problem 1FCYP

To determine

To state the postulate or theorem justify the answer.

  $\angle 8\cong \angle 6$

Answer to Problem 1FCYP

Vertically opposite angles

When two lines are cross and angles each other are equal.

Explanation of Solution

Given information:

Figure

  $\angle 8\cong \angle 6$

Figure

Vertically opposite angles

When two lines are cross and angles each other are equal.

From above theorem

Corresponding angle $\angle 8$ and angle $\angle 6$ are vertically opposite angles because line l and line b cross each other.

Then angles are equal.

Hence, $\angle 8\cong \angle 6$ are congruent.