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

May 25, 2026Mathematics

ScanSolve AI Answer

May 25, 2026

To find the value of $y$ , we use the properties of parallel lines intersected by a transversal. From the diagram, $l_1 \parallel l_2$ , and $l_3$ is a transversal.

Step 1: Identify the relationship between $x^\circ$ and $3x^\circ$ . The angle marked $x^\circ$ is an interior angle on the left side of the transversal $l_3$ , between $l_1$ and $l_3$ . The angle marked $3x^\circ$ is an interior angle on the right side of the transversal $l_3$ , between $l_2$ and $l_3$ . These two angles are alternate interior angles. Since $l_1 \parallel l_2$ ,

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To find the value of y, we use the properties of parallel lines intersected by a transversal.

Asked on May 25, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 25, 2026

To find the value of y, we use the properties of parallel lines intersected by a transversal. From the diagram, l_1 l_2, and l_3 is a transversal. Step 1: Identify the relationship between x^ and 3x^. The angle marked x^ is an interior angle on the left side of the transversal l_3, between l_1 and l_3. The angle marked 3x^ is an interior angle on the right side of the transversal l_3, between l_2 and l_3. These two angles are alternate interior angles. Since l_1 l_2,