# Diagonally Speaking

Pro Problems > Math > Geometry > Polygons > Diagonals## Diagonally Speaking

If the number of sides of a polygon is increased by 4, the number of diagonals increases by 30. How many diagonals does the original polygon have?

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Problem by allie

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Click here to assign this problem to your students.## Similar Problems

### Diagonals of Two Polygons

Polygon A has 4 sides more than Polygon B, and it has 70 more diagonals than Polygon B. How many sides does Polygon A have?

### Sides and Diagonals

The number of sides in a polygon is 117 less than the number of diagonals. How many sides does the polygon have?

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