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Dmitry [639]
4 years ago
9

ABCD is a quadrilateral inscribed in a circle, as shown below: Circle O is shown with a quadrilateral ABCD inscribed inside it.

Mathematics
1 answer:
Mekhanik [1.2K]4 years ago
3 0

Answer:

C. (2x + 16) + (x) = 180°

Step-by-step explanation:

See attachment for the cyclic quadrilateral

One theorem of cyclic quadrilateral states that; opposite angles = 180°

In the attachment, the angle opposite B is D

Where B = x

D = 2x + 16

From the theorem stated above;

B + D = 180°

Substitute the values of B and D in the formula above

x + 2x + 16 = 180

From the list of given options, the correct answer is C

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