Question

richard is cutting a piece of baseboard for his bedroom. to make it fit perfectly, he must cut the rectangular piece of wood into a parallelogram as shown below. if he cuts ∠ecd at 40°, what is the measure of ∠fec? 4 of 10 questions 130° 140° 50° 40°

Explanation:

Step1: Use the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary.
$$\angle ECD+\angle FEC = 180^{\circ}$$

Step2: Solve for $\angle FEC$

Given $\angle ECD = 40^{\circ}$, substitute into the equation:
$$\angle FEC=180^{\circ}-\angle ECD$$
$$\angle FEC = 180^{\circ}- 40^{\circ}$$
$$\angle FEC=140^{\circ}$$

Answer:

140°