Angles in Polygons & Parallel LinesCambridge IGCSE Maths: Flashcards

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What do angles at a point sum to?

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What do angles at a point sum to?: 360°
What do angles on a straight line sum to?: 180°
What is true of vertically opposite angles?: They are equal.
What is the angle sum of a triangle?: 180°
What is the angle sum of a quadrilateral?: 360°
What is a transversal?: A straight line that crosses two or more other lines.
What is true of corresponding angles on parallel lines?: They are equal.
What is true of alternate angles on parallel lines?: They are equal.
What is true of co-interior angles on parallel lines?: They sum to 180°.
State the formula for the sum of interior angles of an $n$ -sided polygon.: $(n-2) \times 180°$
What do the exterior angles of any polygon sum to?: 360°
State the formula for one exterior angle of a regular $n$ -sided polygon.: $\dfrac{360°}{n}$
How are interior and exterior angles at a vertex related?: They sum to 180°, since they lie on a straight line.
Find the interior angle of a regular hexagon.: Exterior angle $=\frac{360}{6}=60°$ ; interior angle $=180-60=120°$ .
In three-letter angle notation like angle $ABC$ , which letter is the vertex?: The middle letter, $B$ .