Answer:
The value of m ∠BCD is 120 degrees
Properties of a parallelogram
The properties of a parallelogram;
Opposite sides are congruent AB = DC
Opposite angels are congruent D = B
Consecutive angles are supplementary, that is, the sum up to 180
The diagonals of a parallelogram bisect each other
If AB = DC
Then, we have;
2x + x + 2x + x = 360
collect like terms
6x = 360
Make 'x' the subject
x = 360/6
x = 60 degrees
But m ∠BCD = 2x = 2 (60) = 120 degrees
Thus, the value of m ∠BCD is 120 degrees
Learn more about a parallelogram here:
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Step-by-step explanation:
