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Name: ___________________________________
Geometry
Polygon Angle-Sum Practice
1. Find the measure of an exterior angle of an equiangular octagon.
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2. Find the measure of an exterior angle of an equiangular pentadecagon (15-gon).
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3. Find the measure of an interior angle of an equiangular pentagon.
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4. Find the measure of an interior angle of a dodecagon.
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5. Find the number of sides of an equiangular polygon if each of its
interior angles is 144.
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6. The measures of three of the interior angles of a quadrilateral are 40,
70, and 130. What is the measure of the fourth angle?
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7. If the measure of an exterior angle of a regular polygon is 15, how
many sides does the polygon have?
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8. If a polygon has 33 sides, what is the sum of the measures of the
interior angles of the polygon?
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9. If a polygon has 36 sides, what is the sum of the measures of the
exterior angles of the polygon?
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10. The sum of the measures of the interior angles of a polygon is 1620.
What is the name of the polygon?
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11. The measure of an exterior angle of an equiangular polygon is twice that
of an interior angle. What is the name of the polygon?
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12. If each exterior angle of a regular polygon has a measure of 4, find
the number of sides of the polygon.
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13. Find the name of the polygon in which each interior angle
is three times the measure of each exterior angle.
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14. Find the name of the polygon which has 65 diagonals.
CHALLENGE
The measure of an interior angle of an equiangular polygon exceeds
four times the measure of one of the polygon’s exterior angles by 30.
What is the name of the polygon?
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