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Angles – practice for Years 6–9

Sample questions on Angles with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 6–9
Curriculum area
Geometry and measures

Question types: Angles on lines, parallel lines and polygons

Rule: Angles

Angles on a straight line add up to 180°, vertically opposite angles are equal. A right angle is 90°.

Where a line crosses parallel lines, corresponding and alternate angles are equal.

Interior angles add up to: triangle 180°, quadrilateral 360°, n-sided polygon (n − 2) × 180°.

Example: The angle next to 120° on a straight line: 180° − 120° = 60°

Watch out: Don’t mix up angles on a straight line (they add up to 180°) and vertically opposite angles (equal).

Sample questions

  1. Question 1 Easy

    A right angle is split into two angles. One of them is 76°. How many degrees is the other?

    Show the solution
    Answer: 14°

    How it works: 90° − 76° = 14°

  2. Question 2 Normal

    Lines p and q are parallel and line t crosses them. Angle α where t meets p is 148°. Angle β at line q lies on a straight line next to the angle corresponding to α. What is the size of β?

    Show the solution
    Answer: 32°

    How it works: The corresponding angle is 148°, the angle next to it is 180° − 148° = 32°

  3. Question 3 Hard

    Quadrilateral ABCD has angles α = 114°, β = 70° and γ = 76°. What is the size of angle δ?

    Show the solution
    Answer: 100°

    How it works: The angles of a quadrilateral add up to 360°: δ = 360° − 114° − 70° − 76° = 100°

Related topics

All Maths topics

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