Answer:
Angle F and H are equal, and Angle E and G are equal. EFGH is a parallelogram because opposite angles are congruent.
Explanation:
Step 1:
Insert z=11 into (9z+19), angle F, and (11z-3), Angle H, to find the angle lengths.
9(11)+19=118
11(11)-3=118
We see that they are the same angles! In step 2, we see the same thing happen. Note that the definition of parallelograms is that opposite sides and angles are equal.
Sentence completion: Angle F and H are equal (We see that in step 1), and Angle E and G are equal (Shown in step 2, which is done for you.) EFGH is a parallelogram because opposite angles are congruent. Hope this helps!