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Line & angle proofs

AE\overleftrightarrow{AE} and BD\overleftrightarrow{BD} are parallel lines.
The interior angles of a triangle sum to 180180^\circ.
Complete the equations to prove that corresponding angles always have equal measure.
In terms of w and a numberin degrees,\text{In terms of } \purple w \text{ and a number} \\\text{in degrees,}v=\green v=
In terms of w and a numberin degrees,\text{In terms of } \purple w \text{ and a number} \\\text{in degrees,}u=\pink u=
Combining these equations to get v in terms of u,\text{Combining these equations to } \\ \text{get } \green v \text{ in terms of } \pink u,v=\green v=