The value of the variable x will be 15. Then the correct option is A.
What is a trapezoid?
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.
The trapezoid is an isosceles trapezoid.
An isosceles trapezoid is the form of trapezoid on which the non-parallel sides are of equal length.
In the isosceles trapezoid, the sum of the opposite angles is 180 degrees.
Then the sum of the angle B and angle D will be 180°.
∠B + ∠D = 180°
9x + 3x = 180
12x = 180°
x = 180°
x = 15°
Thus, the value of the variable x will be 15.
Then the correct option is A.
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