Find the area of the combined rectangles. 2 mi
15 mi
8 mi
8 mi
6 mi
23 mi
The area is
square miles.

1. ∠1 and ∠2 are a linear pair                          1. Given

2. ∠1 and ∠2 are supplementary                      2. Linear Pair Postulate

3. m∠1 + m∠2 = 180°                                    3. Definition of Supplementary Angles

4. ∠1 and ∠3 are vertical angles                      4. Given

5. ∠1 ≅ ∠3                                                     5. Vertical angles are congruent.

6. m∠1 = m∠3                                               6. Congruent angles have equal measure.

7. m∠3 + m∠2 = 180º                                    7. Substitution into step 3.

8. ∴∠2 and ∠3 are supplementary                    8. Definition of Supplementary Angles

Step-by-step explanation:

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