# What do the angles in a quadrilateral add up to?

A quadrilateral can be defined as a closed, two-dimensional shape that has four straight sides, four vertices or corners, and four angles. In any quadrilateral, the sum of the four angles is 360°.

## Answer: The interior angles of a quadrilateral add up to 360**°**

**Explanation: **

The formula for calculating the sum of interior angles of a polygon is **( n − 2 ) × 180°, **n is the number of sides of a polygon.

Sum of angles in a quadrilateral = (4 - 2) × 180° = 2 × 180° = 360°

⇒ The sum of all interior angles is 360°.

### Thus, the interior angles of a quadrilateral add up to 360**°**

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