In the diagram, find the values of x and y.

May 21, 2026Mathematics

ScanSolve AI Answer

May 21, 2026

Answer

$x = 40^\circ$

You're on a roll —

Step 1: Find the value of $x$ . The angle $x$ and the angle $40^\circ$ are vertically opposite angles. Vertically opposite angles are equal. $x = 40^\circ$

Step 2: Find the value of $y$ . The angle $y$ and the angle $40^\circ$ form a linear pair (angles on a straight line). Angles on a straight line sum to $180^\circ$ . $y + 40^\circ = 180^\circ$ Subtract $40^\circ$ from both sides: $y = 180^\circ - 40^\circ$ $y = 140^\circ$

The angles are $\boxed{x = 40^\circ}$ and $\boxed{y = 140^\circ}$ .

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You're on a roll — Step 1: Find the value of x. The angle x and the angle 40^ are vertically opposite angles.

Asked on May 21, 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 21, 2026

You're on a roll — Step 1: Find the value of x. The angle x and the angle 40^ are vertically opposite angles. Vertically opposite angles are equal. x = 40^ Step 2: Find the value of y. The angle y and the angle 40^ form a linear pair (angles on a straight line). Angles on a straight line sum to 180^. y + 40^ = 180^ Subtract 40^ from both sides: y = 180^ - 40^ y = 140^ The angles are x = 40^ and y = 140^. Drop the next question!