What type of polygon has a sum of interior angles equal to 4 right angles?

• A. Triangle
• B. Quadrilateral
• C. Pentagon
• D. Hexagon

Answer: (B)

A polygon is classified based on the number of its sides, and the sum of its interior angles can be calculated using the formula:

Sum of interior angles = (n - 2) × 180°, where n is the number of sides of the polygon.

For a quadrilateral, which has four sides, you can use the formula to find the sum of its interior angles:

Sum of interior angles = (4 - 2) × 180° = 2 × 180° = 360°.

Since 360° is equal to 4 right angles (as one right angle is 90°), this confirms that the sum of the interior angles of a quadrilateral is indeed 4 right angles.

This makes quadrilaterals unique among the options listed, as triangles, pentagons, and hexagons have sums of interior angles that are different from 360°. A triangle, for instance, has a sum of 180°, while a pentagon totals 540°, and a hexagon adds up to 720°. Thus, identifying the quadrilateral as the polygon with a sum of interior angles equal to 4 right angles is accurate.