Dial x (or drag a ray) until angles labelled (2x + 10)° and (3x − 5)° actually obey their vertical, straight-line or right-angle rule — the equation assembles itself under the diagram.
Every labelled angle is drawn at its live size for the current x, so the diagram is visibly wrong until x is right: unequal vertical angles bend the second line at the vertex, a short sum leaves a hatched gap on the straight line, too much spills past the right-angle corner. The player dials x or drags a ray while the symbolic equation (2x + 10 = 3x − 5, or (2x + 10) + (3x − 5) = 180) and its live substitution build beneath the figure. It drills 7.G.5 — using angle relationships to write and solve equations — and targets the habit of setting every pair to 180° regardless of the relationship. Best for Grades 7–8.
A free, no-signup, no-ads math game for Grades 7–8 — practising vertical-angles, supplementary-angles, complementary-angles, angle-equations, solving-equations. Play in your browser on the KidsDoMath games hub or explore more Geometry & Shapes games.
By grade level: 7th Grade Math Games8th Grade Math Games
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What math does Angle Equation Arena practice? Angle Equation Arena practices Vertical Angles, Supplementary Angles, Complementary Angles, Angle Equations. Every labelled angle is drawn at its live size for the current x, so the diagram is visibly wrong until x is right: unequal vertical angles bend the second line at the vertex, a short sum leaves a hatched gap on the straight line, too much spills past the right-angle corner.
What grade is Angle Equation Arena for? Angle Equation Arena is built for Grades 7–8 (ages 12–14). It sits in the Geometry & Shapes strand, and it ramps across 8 levels so younger or older players find their own pace.
How do you play Angle Equation Arena? Dial x (or drag a ray) until angles labelled (2x + 10)° and (3x − 5)° actually obey their vertical, straight-line or right-angle rule — the equation assembles itself under the diagram.
Is Angle Equation Arena free to play? Yes. Angle Equation Arena is free, with no ads and no sign-up, and it runs in the browser on a phone, tablet or computer.