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Complete the proof of the exterior angle theorem. Given: ∠4 is an exterior angle of △ABC. Prove: m∠1+m∠2=m∠4 Answer: Statement Reason 1. ∠4 is an exterior angle of △ABC. 1. 2. ∠3 and ∠4 form a linear pair. 2. 3. ∠3 is supplementary to ∠4. 3. 4. m∠3+m∠4=180° 4. 5. 5. Triangle Sum Theorem 6. m∠1+m∠2+m∠3=m∠3+m∠4 6. 7. 7.

Complete the proof of the exterior angle theorem Given 4 is an exterior angle of ABC Prove m1m2m4 Answer Statement Reason 1 4 is an exterior angle of ABC 1 2 3 class=

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Step-by-step explanation:

Statement                                                                              Reason

1. ∠4 is an exterior angle of ΔABC                                         Given

2. ∠3 and ∠4 form a linear pair                                    Linear pair property

3. ∠3 is supplementary to ∠4                                     Straight line property

4. m∠3+m∠4=180°                                                ∠3 is supplementary to ∠4      

5. m∠1+m∠2+m∠3=180°                                           Triangle sum theorem

6.m∠1+m∠2+m∠3= m∠3+m∠4                                   Statement 4 and 5

7. m∠1+m∠2=m∠4                                                     Subtraction property

Answer: Attached Below.

Step-by-step explanation:

Hope this helps!

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