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Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the Quadrilateral. Show your work. ( Please do not recopy another students answers on Brainly Or Any Other Websites. You'll be reported if you do. (Will Mark Brainliest if answered correctly. ​

Quadrilateral ABCD is inscribed in a circle Find the measure of each of the angles of the Quadrilateral Show your work Please do not recopy another students ans class=

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Answer:

  • Shown Below.

Explanation:

opposite angles in a quadrilateral sum up to 180°

total interior angles in a quadrilateral is 360°

solve for x:

x - 2 + x + 2 = 180°

2x = 180°

x = 90°

solve for each angle:

1st

x + 2

90° + 2 = 92°

2nd

x - 2

90° - 2 = 88°

3rd

x - 10

90° - 10° = 80°

4th

360° - 80° - 88° - 92° = 100°

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