What postulate or theorem supports the following statements?
9. If m∠3 = 112, then m∠10 = 112.
10. If m∠8 = 83, then m∠13 = 83.
11. If m∠2 = 121, then m∠6 = 121.
12. If m∠11 = 136, then m∠15 = 136.
9. If m∠3 = 112, then m∠10 = 112.
10. If m∠8 = 83, then m∠13 = 83.
11. If m∠2 = 121, then m∠6 = 121.
12. If m∠11 = 136, then m∠15 = 136.
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Answer:
9. If m∠3 = 112, then m∠10 = 112.
- Alternate-Interior Angles, Corresponding Angles
10. If m∠8 = 83, then m∠13 = 83.
- Alternate-Interior Angles, Corresponding Angles
11. If m∠2 = 121, then m∠6 = 121.
- Alternate-Interior Angles, Corresponding Angles
12. If m∠11 = 136, then m∠15 = 136.
- Alternate-Interior Angles, Corresponding Angles
Hence, "Angles opposite to two equal sides of a triangle are equal"
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