Question

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

1. move vertex a to a different location. which vertex angle remains

unchanged?

1. what is the sum of the angle measures of the quadrilateral?

360

1. move vertex b to a different location. what is the sum of the

angle measures of the quadrilateral? 360

1. move vertices c and d to different locations.

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:

\(360\)