Solve for missing angle measures in parallel line diagrams using equations.
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A common misunderstanding is to set up an incorrect equation, for example, setting the expressions equal to each other in a supplementary relationship. Have students start by looking at the structure of the diagram and understanding the relationship between the angles before they set up an equation (MP.7).
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Lines $${L_1 }$$ and $${L_2}$$ are parallel and cut by transversal $$p$$.
What is the measure of the angles shown by the algebraic expressions?
Determine the values of $$x$$ and $$y$$ in the diagram below, and use them to determine the measures of the eight angles formed by the parallel lines and transversal.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Lines $$b$$ and $$c$$ are parallel cut by transversal line $$a$$. Determine all of the angle measures.
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