The value of x in the given parallelogram is: x = 90°.
What is a Parallelogram?
A parallelogram is a quadrilateral with four interior angles and four sides, whose opposite angles are equal to each other.
In the image given:
Angle A = 120°
Since ABCD is a parallelogram, therefore, the angle that is opposite to angle A would also be 120°. Therefore:
Angle C = 120°
Angle D = 180 - 120 = 60°.
Angle DCO = 1/2(angle C) = 1/2(120) = 60°
Angle CDO = 1/2(angle D) = 1/2(60) = 30°
x = 180 - m<DCO - m<CDO [triangle sum theorem]
Substitute
x = 180 - 60 - 30
x = 90°
Therefore, the value of x in the given parallelogram is: 90°.
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