briannaml briannaml
  • 02-05-2018
  • Mathematics
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APLZ HELP ASAP INSCRIBED QUADRILATERALS

APLZ HELP ASAP INSCRIBED QUADRILATERALS class=

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Blitztiger
Blitztiger Blitztiger
  • 02-05-2018
For any inscribed quadrilateral, the sum of each pair of opposite angles must add up to 180. In this case, B + A = 180, and similarly, E + R = 180. Therefore,
74 + R = 180
R = 106 degrees

(Similarly, if we had to solve for B, B + 92 = 180, and B = 88 degrees.)
Answer Link
Matheng
Matheng Matheng
  • 02-05-2018
The opposite angles in any inscribed quadrilateral are supplementary.
∵ ∠E + ∠R = 180°
∴ ∠R = 180 - ∠E = 180° - 74° = 106°
Answer Link

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