Angles at a Point and Vertically Opposite Angles

Angles that fill a full turn around a point add to \(360^\circ\), and when two straight lines cross, the opposite angles are equal. In NSW Year 7 maths (NESA outcome MA4‑ANG‑C‑01) these are called angles at a point and vertically opposite angles.

You will find missing angles by subtracting from \(360^\circ\), combine equal opposite angles with angles on a straight line, and give a reason with each step of the working. A Ferris wheel with 12 equally spaced spokes, \(30^\circ\) apart, is one real example of angles meeting at a single point. This subtopic is part of Year 7 Angles.