Polygon angle formulas. Game on.

Polygon angle formulas is a grade 8 math skill aligned to Common Core standard 8.G.A.5: use informal arguments to establish facts about the angle sum and exterior angle of triangles, and about the angles created when parallel lines are cut by a transversal. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 23 polygon angle formulas problems our math games drill.

CCSS 8.G.A.523 questions in the bank
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What is the sum of the exterior angles, one at each vertex, of any convex polygon?

The exterior angles of any convex polygon, one at each vertex, sum to 360∘.360^{\circ}\textsf{.}

Mid-gameeasy

What is the sum of the interior angles of a triangle?

The interior angle sum of a triangle is 180°180°.

Mid-gameeasy

What is the sum of the interior angles of a quadrilateral?

The interior angle sum of a quadrilateral is 360°360°.

Mid-gameeasy

What is the sum of the interior angles of a pentagon?

A pentagon has 55 sides: (5−2)×180=540°(5-2) \times 180 = 540°.

Mid-gameeasy

What is (6−2)×180(6-2) \times 180?

(6−2)×180=4×180=720(6-2) \times 180 = 4 \times 180 = 720.

Mid-gameeasy

What is the sum of the interior angles of a hexagon?

A hexagon has 66 sides: (6−2)×180=720°(6-2) \times 180 = 720°.

Mid-gameeasy

What is the sum of the interior angles of a heptagon?

A heptagon has 77 sides: (7−2)×180=900°(7-2) \times 180 = 900°.

Buzzer beatereasy

What is the sum of the interior angles of a octagon?

A octagon has 88 sides: (8−2)×180=1080°(8-2) \times 180 = 1080°.

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Tests that cover polygon angle formulas:
NAEPSBACSATSC READYNC EOG/EOC
Reporting domains for this skill
SAT All grades: Geometry and TrigonometryACT All grades: Preparing for Higher MathSTAAR Grade 8: Geometry and MeasurementMAP Growth Math 6+: Geometryi-Ready Grade 8: GeometrySBAC Grade 8: Concepts and Procedures
More Grade 8 skills
Inconsistent linear systems (ACT/SAT/PSAT 8/9/10)Graphing linear equationsFinding a missing side with the Pythagorean theoremScatterplots and trend linesEvaluating exponential functionsInterpreting linear parametersIsosceles triangle anglesPythagorean theoremAll Grade 8 practice →

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