Question

rectangle abcd has four right angles. 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? 4. move vertex b to a different location. what is the sum of the angle measures of the quadrilateral? 5. move vertices c and d to different locations. what is the sum of the angle measures of the quadrilateral? m∠a = 90° m∠b = 90° m∠c = 90° m∠d = 90°

Explanation:

Step1: Recall angle - sum formula

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

Step2: Identify number of sides of quadrilateral

For a quadrilateral, $n = 4$.

Step3: Calculate the sum

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

Answer:

360