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Work out the size of angle p.

March 16, 2026Mathematics

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Answer

66^\circ

3 steps

Adjacent angles formed by two intersecting straight lines sum to $180^\circ$ .
Angle $p$ is adjacent to the $114^\circ$ angle.
$p + 114^\circ = 180^\circ$
Subtract $114^\circ$ from both sides.
$p = 180^\circ - 114^\circ$
Simplify the right side.
$p = 66^\circ$
Check: Vertically opposite angles are equal. Angle $p$ is vertically opposite the given $66^\circ$ angle.
Thus, $p = 66^\circ$ .

66^\circ

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