Flashcards · Maths · Geometry and Measures
Angles in Parallel Lines and Polygons
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What do angles on a straight line add up to?
\(180^\circ\).
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What do angles around a point add up to?
\(360^\circ\).
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What are vertically opposite angles?
The equal angles opposite each other where two straight lines cross.
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What do the angles in a triangle add up to?
\(180^\circ\).
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What do the angles in a quadrilateral add up to?
\(360^\circ\).
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What is the rule for the exterior angle of a triangle?
It equals the sum of the two opposite interior angles.
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Which angles are equal and form a Z shape between parallel lines?
Alternate angles.
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Which angles are equal and form an F shape between parallel lines?
Corresponding angles.
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Which angles add up to \(180^\circ\) and form a C shape between parallel lines?
Co-interior angles.
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What is the sum of the interior angles of an \(n\)-sided polygon?
\((n - 2) \times 180^\circ\).
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What do the exterior angles of any polygon add up to?
\(360^\circ\).
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What is each exterior angle of a regular polygon with \(n\) sides?
\(360 \div n\).
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How do you find an interior angle of a regular polygon from the exterior angle?
Subtract the exterior angle from \(180^\circ\).
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What is the interior angle of a regular hexagon?
\(120^\circ\).
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A regular polygon has exterior angle \(24^\circ\). How many sides?
\(360 \div 24 = 15\).
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Why must you state the angle fact in an exam?
Mark schemes award marks for the reason as well as the answer.