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Paraphin [41]
2 years ago
14

ABCD is a quadrilateral inscribed in a circle, as shown below:

Mathematics
1 answer:
malfutka [58]2 years ago
4 0

Answer:

Option 4: <u>(2x + 16)° + (x)° = 180°</u>

Step-by-step explanation:

See the attached figure.

For a quadrilateral inscribed in a circle

The opposite angles are supplementary.

So, ∠D + ∠B = 180°

From the figure:

∠B = x°  and ∠D = (2x+16)°

∴  <u>(2x + 16)° + (x)° = 180°</u>

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\left[\begin{array}{ccc}17\end{array}\right]

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