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).
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 1 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.
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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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