Question

State the postulate or theorem that justifies each statement.

$\angle 6\cong \angle 7$

Short answer

Vertically opposite angles are congruent.

Step-by-step solution

Step 1. First observation from figure

Arrowheads are shown on lines $I$and $P$, so these lines are parallel

Step 2. Second observation from figure

Line $t$is transversal to the parallel lines $I$and$P$

Step 3. Third observation from figure

$\angle 6$and $\angle 7$are vertically opposite angles.

As vertically opposite angles are congruent.

Thus,$\angle 6\cong \angle 7$