Angles in a semicircle - Higher - Circle theorems - Higher - AQA - GCSE Maths Revision - AQA

Angles in a semicircle - Higher

The angle at the circumference in a is a right angle.

Angle APB = 90°

Calculate the angle \(z\).

The angle at the circumference in a semi-circle is 90°.

Angle STU = 90°

Angles in a triangle add up to 180°.

\(z = 180^\circ - 90^\circ - 31^\circ = 59^\circ\)

The angle on a straight line is 180°. The angle VOY = 180°.

The angle at the centre is double the angle at the circumference.

Angle VWY = \(\frac{1}{2}\) of angle VOY = \(\frac{1}{2} \times 180\).

Angle VWY = 90°