studyGeometry & Mensuration
CoreMaths revision

Angle Properties (Advanced)

Chain multiple angle facts in parallel-line and polygon arguments.

Focus points
✓Combine parallel-line angle facts.
✓Use polygon angle sums algebraically.
✓Write short geometric justifications.
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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 · parallel lines
Two parallel lines are cut by a transversal. An alternate angle is 73°. Find the matching alternate angle.
Question 2FluencyCore
Original practice · Free Online Revision
Skill · co-interior equation
Co-interior angles are (3x+12)° and (5x−8)°. Find x.
Question 3FluencyCore
Original practice · Free Online Revision
Skill · regular polygons
A regular polygon has exterior angle 30°. Find its interior angle and number of sides.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · quadrilateral angles
The angles of a quadrilateral are x, 2x, 3x and 4x. Find x.
Question 5FluencyCore
Original practice · Free Online Revision
Skill · exterior angle
An isosceles triangle has an exterior angle of 124° at a base vertex. Find all interior angles.
Question 6ReasoningCore
Original practice · Free Online Revision
Skill · geometric reasoning
Explain why the exterior angles of any convex polygon sum to 360°.
Question 7ApplicationCore
Original practice · Free Online Revision
Skill · parallel-line equation
A transversal crosses two lines. A pair of corresponding angles are 4x+7 and 6x−29. If the lines are parallel, find the angle.
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · polygon challenge
A regular polygon has interior angle 165°. Find the number of diagonals.