Question

ring 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?

1. move vertex b to a different location. 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.

Step2: Determine the value of \(n\) for a quadrilateral

For a quadrilateral, \(n=4\).

Step3: Calculate the sum of interior angles

Substitute \(n = 4\) into the formula: \((4 - 2)\times180^{\circ}=2\times180^{\circ}=360^{\circ}\)

Answer:

\(360^{\circ}\)