\"\"

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Observe the figure:

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In \"\",the angles are \"\".

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\"\"                        (Sum of the three angles is \"\")

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\"\"                        (Substitute \"\")

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\"\"     (Subtract \"\" from each side)

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\"\"     (Commutative property: \"\")

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\"\"                  (Additive inverse property: \"\")

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\"\"                        (Additive identity property: \"\")

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\"\"                                    (Subtract: \"\")

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\"\"

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The  \"\" are angle bisectors.

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So, \"\" and \"\".

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In \"\": \"\".

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\"\"                      (Add: \"\")

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\"\"                                (Substitute  \"\")

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\"\"                                  (Divide: \"\")

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\"\"               (Subtract \"\" from each side)

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\"\"                            (Additive inverse property: \"\")

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\"\"                                  (Additive identity property: \"\")

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\"\"                                           (Subtract: \"\")

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\"\"

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Option G is right choice.