Question 3 multiple choice worth 6 points)
(09.02 mc)
quadrilateral opqr is inscribed in circle n, as shown below. which of the following could be used to calculate the measure of loro?
x+16)
(2x+16)
(6x4
mzqpo + (x 226)* + (6x + 4) = 360°
m_opo = (x + 16) + (6x-4)
mzqpo + (2x + 16)* = 180°
m2qpo = (6x - 4) + (2x + 16)

Therefore the correct option is

Step-by-step explanation:

Quadrilateral OPQR is inscribed in circle N, as shown below.

∠POR = (x + 16)°

∠ORQ = (2x + 16)°

∠RQP = (6x - 4)°

Quadrilateral OPQR is inscribed in circle N,

∴ Quadrilateral OPQR is a Cyclic Quadrilateral.

For a  Cyclic Quadrilateral Opposite angles are Supplementary.

∠ QPO and ∠ QRO are opposite angles.

∴

Substituting m∠ ORQ we get

......as Required

Therefore the correct option is

you need to show the graph

step-by-step explanation:

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