saschapollock12
saschapollock12 saschapollock12
  • 08-04-2020
  • Mathematics
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quadrilateral OPQR is inscribed inside a circle as shown below. what is the measure of angle O? you must show all work and calculations to receive credit.

quadrilateral OPQR is inscribed inside a circle as shown below what is the measure of angle O you must show all work and calculations to receive credit class=

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jimrgrant1 jimrgrant1
  • 08-04-2020

Answer:

∠ O = 88°

Step-by-step explanation:

For the inscribed quadrilateral

The opposite angles are supplementary, that is

∠ O + ∠ Q = 180, substitute values

2x + 2x + 4 = 180

4x + 4 = 180 ( subtract 4 from both sides )

4x = 176 ( divide both sides by 4 )

x = 44

Thus

∠ O = 2x = 2(44) = 88°

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