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Given: ∠4 is an exterior angle of ΔABC . Prove: m∠1 + m∠2 = m∠4
Picture: https://s.yimg.com/tr/i/4516dabcf9a74411afddd9977b5028ee_A.png
Statements:
1. ∠4 is an exterior angle of ABC
2. ∠3 and ∠4 form a linear pair
3. ∠3 is supplementary to ∠4
4. m∠3 + m∠4 = 180*
5. ? (my answer: m∠1 + m∠2 +m∠3 = 180*)
6. m∠1 + m∠2 + m∠3 = m∠3 + m∠4
7. ? (My answer: m∠1 + m∠2 =m∠4)

Reason:
2. ?
3. ?
4. ? (My answer: Linear pair)
5. Triangle Sum Theorem

Sorry if this a lot but I'm really struggling with geometry and would like it if someone could help. Please help me.

Guest Nov 17, 2017
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#1
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2. A line standing on a line forms a linear pair

3. Linear Pair Theorem

4. Definition of Supplementary

5 ,6 look good

7 Subtraction Property  of Equality

CPhill  Nov 17, 2017

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