mariammehany13 mariammehany13
  • 13-12-2021
  • Mathematics
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Points A, B and C lie on a circle, centre O.
Angle AOC = 142°.
Find the value of y.

Points A B and C lie on a circle centre O Angle AOC 142 Find the value of y class=

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vintechnology vintechnology
  • 22-12-2021

The value of y in the cyclic quadrilateral with ∠AOC(142°) is 38°

The diagram above represents a cyclic quadrilateral.

A cyclic quadrilateral has all it vertices on the circumference of the circle.

Therefore,

Opposite angles are supplementary. This means they add up to 180 degrees.

Therefore,

142° + y° = 180°

subtract 142 from both sides of the equation

142 - 142 + y = 180 - 142

y = 38°

learn more about circle theorem here: https://brainly.com/question/24795394

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