Tanisha draws a regular quadrilateral. If she extended a line from any vertex of the quadrilateral, what would be the degree measure of that exterior angle?(1 point)

Answer 1

A regular quadrilateral is also known as a square.

The sum of the interior angles of a quadrilateral is \(360\) degrees. Since a regular quadrilateral has equal interior angles, each interior angle measures:

\[ \frac{360}{4} = 90 \text{ degrees} \]

The exterior angle is formed by extending one side of the quadrilateral. The exterior angle can be calculated using the formula:

\[ \text{Exterior angle} = 180 - \text{Interior angle} \]

Substituting the value of the interior angle:

\[ \text{Exterior angle} = 180 - 90 = 90 \text{ degrees} \]

Therefore, the degree measure of the exterior angle when extending a line from any vertex of the regular quadrilateral is \(90\) degrees.