quadrilateral OPQR is inscribed inside a circle as shown below. what is the measure of angle O? you must show all work and calculations to receive credit.

Answer:
∠ O = 88°
Step-by-step explanation:
For the inscribed quadrilateral
The opposite angles are supplementary, that is
∠ O + ∠ Q = 180, substitute values
2x + 2x + 4 = 180
4x + 4 = 180 ( subtract 4 from both sides )
4x = 176 ( divide both sides by 4 )
x = 44
Thus
∠ O = 2x = 2(44) = 88°