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Calculate the size of angle x.

March 16, 2026Mathematics

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Answer

30^\circ

3 steps

Identify that angles $Z$ and $150^\circ$ are adjacent angles on a straight line.
$Z + 150^\circ = 180^\circ$
Subtract $150^\circ$ from both sides.
$Z = 180^\circ - 150^\circ$
Simplify.
$Z = 30^\circ$
The size of angle $Z$ is $\boxed{30^\circ}$ .

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