Given: and are supplementary and

Prove:

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Modified from EngageNY ©Great Minds Disclaimer

A theorem states that *in a plane, if a line is perpendicular to one of two parallel lines and intersects the other, then it is perpendicular to the other of the two parallel lines*.

Prove this theorem. (a) Construct and label an appropriate figure, (b) state the given information and the theorem to be proven, and (c) list the necessary steps to demonstrate proof.

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Modified from EngageNY ©Great Minds Disclaimer