1. Lines
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We are given the following diagram.
In this diagram, a line intersects the parallel lines a and b. When two parallel lines are cut by a transversal, special angle relationships exist. If we know the measure of one of the angles, we can find the measures of all of the angles. We can use these relationships to find the measure of the x∘ angle. Let's start by marking an extra angle in the diagram.
To find the the measure of ∠1, we can analyze the relationship between the 70∘ angle and ∠1.