Question

q.13 interior angles of polygons
what is the sum of the angle measures in this shape?

Explanation:

Step1: Recall the formula for the sum of interior angles of a polygon

The formula for the sum of interior angles of a polygon is \(S=(n - 2)\times180^{\circ}\), where \(n\) is the number of sides of the polygon.

Step2: Determine the number of sides of the given polygon

The given shape is a quadrilateral. A quadrilateral has \(n = 4\) sides.

Step3: Calculate the sum of interior angles

Substitute \(n=4\) into the formula \(S=(n - 2)\times180^{\circ}\).

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Answer:

\(360\)