4.1 Angles

• Angles on a straight line: adjacent angles sum to 180°
• Angles at a point: sum to 360°; vertically opposite angles
• Angles on a transversal with parallel lines: corresponding, alternate and co-interior
• Angles in a parallelogram
• Interior-angle sum of polygons up to hexagon; (n − 2) × 180°
• Interior and exterior angles related to the number of sides
• Solving angles and sides of polygons up to hexagon
• Angles in the environment: roads, roofs, clocks, furniture

• relate different types of angles on a straight line in real-life situations
• solve angles at a point in learning situations
• relate angles on a transversal in different situations
• solve angles in a parallelogram in different situations
• identify angle properties of polygons up to hexagons in different situations
• relate interior angles, exterior angles, and the number of sides of a polygon up to hexagons in different situations
• solve angles and sides of polygons up to hexagons in learning situations
• reflect on the use of angles in objects within the environment

“What are angles?”

“Where do we use angles in real-life situations?”

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1. Angles on a straight line
   40 min · 1 practice tasks · quiz
   Relate adjacent angles on a straight line that sum to 180°, measure them, and solve a missing angle including a simple 2.2 equation.
2. Angles at a point
   40 min · 1 practice tasks · quiz
   Solve angles at a point that sum to 360°, and identify vertically opposite angles as equal.
3. Angles on a transversal
   40 min · 1 practice tasks · quiz
   Relate corresponding, alternate and co-interior angles when a transversal cuts parallel lines.
4. Angles in a parallelogram
   40 min · 1 practice tasks · quiz
   Solve angles in a parallelogram: opposite equal, consecutive supplementary, using the transversal rules.
5. Interior angles of polygons
   40 min · 1 practice tasks · quiz
   Find the interior-angle sum of polygons up to hexagon using (n − 2) × 180°, and relate the sum to right angles.
6. Interior and exterior angles
   40 min · 1 practice tasks · quiz
   Relate interior and exterior angles to the number of sides: they are adjacent on a straight line, and convex exteriors sum to 360°.
7. Solving polygons
   40 min · 1 practice tasks · quiz
   Solve for interior angles, exterior angles and the number of sides of polygons up to hexagon, including regular cases.
8. Angles in the environment
   40 min · 1 practice tasks · quiz
   Reflect on angles in roofs, clocks, junctions, frames and tiles, naming the Grade 7 rule that fits each object.