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In the given diagram, identify the parallel lines and angles and use the property of alternate interior angles to solve for x.
Mathematics
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2 stepsIdentify parallel lines and angles.
The diagram shows two parallel lines, indicated by the arrows. Let's call the top parallel line and the bottom parallel line . So, .
Let the vertices of the triangle be (the top vertex, where the angle is ), (the bottom-left vertex), and (the bottom-right vertex).Use the property of alternate interior angles.
Consider the line segment as a transversal intersecting the parallel lines and .
The angle shown at the top-left is formed by $L_
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