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lbvjy [14]
3 years ago
10

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

Mathematics
1 answer:
german3 years ago
3 0

Answer:

  • A. (x + 16) + (6x − 4) = 180

Step-by-step explanation:

Inscribed quadrilateral has opposite angles supplementary.

<u>So</u>

  • m∠A + m∠C = 180°

or

  • m∠B + m∠D = 180°.

<u>Since</u>

  • m∠A = x + 16,
  • m∠B = x,
  • m∠C = 6x - 4,
  • m∠D = 2x + 16

we can use either pair of angle measures to work out the value of x and then find the value of each angle.

<u>We can verify the first option is the only correct one.</u>

  • m∠A + m∠C = 180°
  • (x + 16) + (6x − 4) = 180
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