Tutorial

GCSE Maths: Angles in Polygons

Learn the properties of angles in triangles and quadrilaterals, and how to calculate interior and exterior angles of any regular polygon.
A wide-angle, low-shot photograph of a group of friends walking along a clearly defined, geometrically shaped path, possibly a large pentagon or hexagon, through a beautifully maintained park. The path's sharp corners and straight segments are highlighted by the soft, directional light of a late afternoon sun, casting long shadows that emphasize the angles and turns. The scene evokes a sense of journey and discovery through geometric space.

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Deck Contents

28 Cards
Lesson#1
In this deck, we'll explore the properties of angles inside shapes, which are called polygons. We'll start with the basics, like triangles and quadrilaterals, and then learn rules that work for any polygon, no matter how many sides it has.
Lesson#2
Let's begin with the simplest polygon, the triangle. A key rule to remember is that the three interior angles inside any triangle always add up to the same total. This is true whether the triangle is long and thin, or short and wide.
Quiz#3
What do the three interior angles in any triangle add up to?

180 degrees

Lesson#4
Some triangles have special properties. An equilateral triangle has three equal sides and, as a result, three equal angles. Since the total is 180 degrees, we can easily work out the size of each angle.
Quiz#5
What is the size of each interior angle in an equilateral triangle?

60 degrees

Lesson#6
Another special type is the isosceles triangle. This has two equal sides. The two angles at the base of these equal sides are also equal to each other.

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