This task requires students to calculate the size of angles using their knowledge of angles and parallel lines: alternate angles, corresponding angles and co-interior angles. Understanding of adjacent angles on a straight line is also required.
Students are required to use trigonometry to calculate the length of one side of a right-angled triangle in three problems based on a ski lift, a toy sail boat and a penguin on an iceberg.
Using the context of carpark lines, students are required to apply their knowledge of angles on parallel lines to calculate unknown angles and identify a non-parallel line from a selection of lines.
Students calculate the size of marked angles using their knowledge of angle properties: the angle between a tangent and a radius, the sum of angles in a triangle and the sum of angles in a quadrilateral.
Students use their knowledge of the angle between a tangent and radius property and the sum of the angles in a quadrilateral to work out unknown angles in a diagram and explain their workings.