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Given: ∠1, ∠2, ∠3, and ∠4 formed by two intersecting segments.
Prove: ∠1 and ∠3 are congruent.
The figure shows 2 intersecting lines. One line rises from left to right and the other line falls from left to right. The 4 angles formed moving clockwise as angles 1, 2, 3, and 4.
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Statement Reason
∠1, ∠2, ∠3, and ∠4 formed by two intersecting segments. Given
∠1and ∠2 form a linear pair.
∠2 and ∠3 form a linear pair.
Definition of a linear pair
Response area Linear Pair Postulate
m∠2+m∠3=180° Response area
Response area Substitution Property of Equality
m∠1=m∠3
Sagot :
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