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Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠OPQ?

Circle N is shown with a quadrilateral OPQR inscribed inside it. Angle O is labeled x plus 16. Angle P is not labeled. Angle Q is labeled 6x minus 4. Angle R is labeled 2x plus 16.

Group of answer choices

m∠OPQ + (2x + 16)° = 180°

m∠OPQ = (6x − 4)° + (2x + 16)°

m∠OPQ + (x + 16)° + (6x − 4)°= 360°

m∠OPQ = (x + 16)° + (6x − 4)°

Quadrilateral OPQR Is Inscribed In Circle N As Shown Below Which Of The Following Could Be Used To Calculate The Measure Of OPQ Circle N Is Shown With A Quadril class=

Sagot :

Medunno13idn

Answer: m∠OPQ + (2x + 16)° = 180°

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary.

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