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In the diagram, if l1 || l2, what is the value of y?

Mathematics

ScanSolve AI Answer

To find the value of yy, we use the properties of parallel lines intersected by a transversal.
From the diagram, l1∥l2l_1 \parallel l_2, and l3l_3 is a transversal.

Step 1: Identify the relationship between x∘x^\circ and 3x∘3x^\circ.
The angle marked x∘x^\circ is an interior angle on the left side of the transversal l3l_3, between l1l_1 and l3l_3.
The angle marked 3x∘3x^\circ is an interior angle on the right side of the transversal l3l_3, between l2l_2 and l3l_3.
These two angles are alternate interior angles. Since l1∥l2l_1 \parallel l_2,

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