Parallel Lines 7F10C8

Question: User: PARALLEL LINE proofs 1 Given: $\angle 4$ and $\angle 7$ are supplementary Prove: $j \parallel k$ Statements Reasons 1. $\angle 4$ supp $\angle 7$ 1. given 2. $\angle 4$ supp $\angle 5$ 2. $\angle 5$, $\angle 7$. Int supp $\to \parallel$ 3. $j \parallel k$ 3. 2 Given: $a \parallel b$, $\angle 2 \cong \angle 3$ Prove: $\angle 1 \cong \angle 3$ Statements Reasons 3 Given: $\angle 1 \cong \angle 7$ Prove: $\angle 4 \cong \angle 8$ Statements Reasons 4 Given: $\angle 5$ and $\angle 8$ are supplementary Prove: $\angle 3 \cong \angle 6$ Statements Reasons top-right: a diagram shows two horizontal lines labeled $j$ and $k$ cut by a diagonal transversal, with angles $1$, $2$, $3$, $4$ at the top intersection and $5$, $6$, $7$, $8$ at the bottom intersection; the goal is to prove $j \parallel k$. center-right: a diagram shows two slanted parallel lines labeled $a$ and $b$ with a transversal and a vertical segment, with angles $1$, $2$, and $3$ marked near the intersections; the goal is to prove $\angle 1 \cong \angle 3$. center-right: a diagram shows two horizontal lines labeled $l$ and $m$ cut by a diagonal transversal, with angles $1$, $2$, $3$, $4$ at the top intersection and $5$, $6$, $7$, $8$ at the bottom intersection; the goal is to prove $\angle 4 \cong \angle 8$. bottom-right: a diagram shows two diagonal lines labeled $r$ and $s$ crossing a horizontal line, with angles $1$, $2$, $3$, $4$ above the line and $5$, $6$, $7$, $8$ below it; the goal is to prove $\angle 3 \cong \angle 6$.