What is the value of x in this figure?

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x =

x = 78°

opposite angles have the same value

78 degree

Step-by-step explanation:

x = 78 degree (being vertically opposite angle)

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: