Angles Question
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Grade 10 Angles CCSS: HSG-CO.C.9
Given the two intersecting lines and the four resulting angles, prove that ∠2≅∠4.

Statement | Reason |
1.m∠1+m∠2=180° | 1.Linear pairs of angels are supplementary |
2.m∠4+m∠1=180° | 2.Linear pairs of angles are supplementary |
3. | 3.Substitution property of equality |
4.m∠2=m∠4 | 4.Subtraction property of equality |
5.∠2≅∠4 | 5.Definition of congruent angles |
- m∠2+180°=m∠4
- m∠4+m∠2=180°
- m∠1+m∠2-180°=m∠4+m∠1
- m∠1+m∠2=m∠4+m∠1