Movie theater has 4 groups of seats the largest group of seats in the middle has 30 row with 30 seats each row. There are two smaller groups of seats on the sides each with 30 rows and 8 seats in each row. A group of seats in the back has 7 rows with 44 seats in each row. How many seats in movie theater?

see #7 below

Step-by-step explanation:

7. ΔABC ≅ ΔDBC               7. SAS Similarity Theorem

A much easier way to prove these triangles are similar is to add either #3 or #5:

   Statement           Reason

3. ∠A ≡ ∠D              3. Corresponding Angles Postulate

                      or

5.  ∠C ≡ ∠E              5. Corresponding Angles Postulate

                    to prove

7. ΔABC ≅ ΔDBC    7. AA Similarity Theorem