The equation that could be used to calculate the measure of ∠OPQ is m∠OPQ + (2x+16)° = 180°. The correct option is the first option
Circle Geometry
From the question, we are to determine which of the given equations could be used to calculate the measure of ∠OPQ
The given diagram is a cyclic quadrilateral
From one of the theorems of circle geometry, we have that
Opposite angles of a cyclic quadrilateral are supplementary. That is, they sum up to 180°
∴ m∠OPQ + (2x+16)° = 180°
Hence, the equation that could be used to calculate the measure of ∠OPQ is m∠OPQ + (2x+16)° = 180°. The correct option is the first option.
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