Find the angles x, a, and y given the diagram and that the lines are parallel.

May 16, 2026Mathematics

ScanSolve AI Answer

May 16, 2026

Answer

50^\circ$$

Here's how to calculate $x$ , $a$ , and $y$ :

Step 1: Calculate $x$ . The angle $x$ and the $50^\circ$ angle are alternate interior angles between the top parallel line and the middle parallel line. Alternate interior angles are equal. $x = 50^\circ$

Step 2: Calculate $a$ . The angle $a$ and the angle $x$ are vertically opposite angles at the intersection point D. Vertically opposite angles are equal. $a = x$ Since $x = 50^\circ$ , then $a = 50^\circ$

Step 3: Verify $a$ using co-interior angles. The angle $a$ (

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Quick Answer

Here's how to calculate x, a, and y: Step 1: Calculate x. The angle x and the 50^ angle are alternate interior angles between the top parallel line and the middle parallel line.

Asked on May 16, 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 16, 2026

Here's how to calculate x, a, and y: Step 1: Calculate x. The angle x and the 50^ angle are alternate interior angles between the top parallel line and the middle parallel line. Alternate interior angles are equal. x = 50^ Step 2: Calculate a. The angle a and the angle x are vertically opposite angles at the intersection point D. Vertically opposite angles are equal. a = x Since x = 50^, then a = 50^ Step 3: Verify a using co-interior angles. The angle a (