Geometry: angles and angle properties — KCSE Mathematics
KCSE Mathematics · 104 practice questions · 4 syllabus objectives
What You'll Learn
Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.
State and apply angle properties: angles on a straight line, vertically opposite angles, angles at a point, corresponding, alternate and co-interior angles
Calculate interior and exterior angles of regular and irregular polygons; state the sum of interior angles of an n-sided polygon = (n–2)×180°
Apply angle properties of parallel lines cut by a transversal to solve multi-step angle problems
Geometry: angles and angle properties
Sample Questions
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The sum of the interior angles of a polygon is 720°. (a) Calculate the number of sides of the polygon. (2 marks) (b) State the name of the polygon. (1 mark)
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State the properties of angles formed when two parallel lines are cut by a transversal and illustrate how they can be used to find unknown angles. (4 marks)
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In a triangle, the angles are in the ratio 2:3:4. Find the size of the largest angle. (3 marks)
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Two parallel lines AB and CD are cut by a transversal EF. Angle AEF = 18°. Find, giving reasons, the size of: (a) angle CEF [1 mark] (b) angle EFD [1 mark] (c) angle EFC [1 mark]
Why Practise Geometry: angles and angle properties?
KNEC Aligned
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