Calculate the size of angle x.

March 16, 2026Mathematics

ScanSolve AI Answer

March 16, 2026

Answer

$30^\circ$

Step 1: Identify that angles $Z$ and $150^\circ$ are adjacent angles on a straight line.

$Z + 150^\circ = 180^\circ$

Step 2: Subtract $150^\circ$ from both sides.

$Z = 180^\circ - 150^\circ$

Step 3: Simplify.

$Z = 30^\circ$

The size of angle $Z$ is $\boxed{30^\circ}$ .

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Quick Answer

Identify that angles Z and 150^ are adjacent angles on a straight line. Z + 150^ = 180^ Step 2: Subtract 150^ from both sides.

Asked on March 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 March 16, 2026

Step 1: Identify that angles Z and 150^ are adjacent angles on a straight line. Z + 150^ = 180^ Step 2: Subtract 150^ from both sides. Z = 180^ - 150^ Step 3: Simplify. Z = 30^ The size of angle Z is 30^.