Angles in Polygons & Parallel Lines

Angles in Polygons & Parallel Lines Quiz

Spec E4.6 · Cambridge IGCSE Maths: Quiz

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5 questions, one answer each

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  1. 1. What is the sum of the interior angles of a pentagon (5 sides)?

    • A. 540°
    • B. 360°
    • C. 900°
    • D. 180°

  2. 2. Two parallel lines are crossed by a transversal. One angle is 65°. What is its co-interior angle?

    • A. 65°
    • B. 115°
    • C. 180°
    • D. 25°

  3. 3. What is each exterior angle of a regular octagon (8 sides)?

    • A. 45°
    • B. 60°
    • C. 30°
    • D. 135°

  4. 4. Angle ABC and angle DEF are alternate angles on a pair of parallel lines. If angle ABC = 72°, what is angle DEF?

    • A. 72°
    • B. 108°
    • C. 18°
    • D. 288°

  5. 5. A quadrilateral has angles of 90°, 100° and 85°. A regular polygon question also states the fourth angle equals the interior angle of a regular pentagon. Is this consistent, and what is the fourth angle of the quadrilateral?

    • A. Yes, fourth angle = 85°
    • B. No, since quadrilateral angles must sum to 360° and this would require 85°, matching a regular pentagon's 108° is impossible
    • C. Yes, fourth angle = 108°, and a quadrilateral summing to 375° is fine
    • D. No calculation possible without a diagram

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