Complete the proof of the exterior angle theorem.

given: angle acd is an exterior angle of triangle bcd.

prove: angle b + angle c = angle adc

statements:

1. angle adc is an exterior angle of triangle bcd

2.

3. angle adc and angle bcd form a linear pair

4.

5.

6.

7. angle adc = angle b + angle c

reasons:

1. given

2. triangle sum theorem

3.

4.

5.

6.

7. subtraction property of equality

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