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1. 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:

   [tex]m\angle opq+m\angle orq=180\°\\\\m\angle opq+ (2x + 16)\°=180\°[/tex]

   then, [tex]m\angle opq+ (2x + 16)\°=180\°[/tex] can be used to d to calculate the measure of ∠opq

   [tex]Quadrilateral opqr is inscribed in circle n, as shown below. which of the following could be used to[/tex]

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2. Valentino because 2/4 is a half and 5/8 is bigger than a half.

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3. b

   step-by-step explanation:

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4. Valentino

   Step-by-step explanation

   1.Find an lcm between 2/4 and 5/8.It would be 8

   2. convert 2/4 into to 4/8 (equivalent fraction), so then you have 4/8 and 5/8

   4/8 (Giana) < 5/8 (Valentino)

   or

   2/4<5/8

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