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studyGeometry & Mensuration
FoundationMaths revision

Triangles and Polygons

Use angle sums and polygon structure to reason about shapes.

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Focus points
✓Use triangle angle sum.
✓Find interior and exterior polygon angles.
✓Classify triangles and polygons.
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The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · triangle angle sum
A triangle has angles 47° and 68°. Find the third angle.
Question 2FluencyCore
Original practice · Free Online Revision
Skill · isosceles triangle
An isosceles triangle has vertex angle 38°. Find each base angle.
Question 3FluencyCore
Original practice · Free Online Revision
Skill · polygon angle sum
Find the sum of interior angles of a decagon.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · regular polygon
Find each interior angle of a regular octagon.
Question 5FluencyCore
Original practice · Free Online Revision
Skill · exterior angles
Find each exterior angle of a regular 15-gon.
Question 6FluencyCore
Original practice · Free Online Revision
Skill · reverse polygon
A regular polygon has exterior angle 18°. How many sides does it have?
Question 7ReasoningCore
Original practice · Free Online Revision
Skill · triangle inequality
Can a triangle have side lengths 4, 7 and 12? Explain.
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · regular polygon
The interior angle of a regular polygon is 156°. Find the number of sides.