Question

the sums of the angle measures in quadrilaterals
rectangle abcd has four right angles.

1. what is the sum of its angle measures?
2. move vertex a to a different location. which vertex angle remains unchanged?
3. what is the sum of the angle measures of the quadrilateral?

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 \((n - 2)\times180^{\circ}\), where \(n\) is the number of sides of the polygon. For a quadrilateral, \(n=4\).

Step2: Calculate the sum of interior angles

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

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Answer:

\(360\)