Seudónimo Seudónimo
  • 06-05-2022
  • Mathematics
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⚠PLEASE HELP!!!⚠
The diagram shows a quadrilateral inscribed in a circle with angles y and 4y. solve for y.

PLEASE HELP The diagram shows a quadrilateral inscribed in a circle with angles y and 4y solve for y class=

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jcherry99
jcherry99 jcherry99
  • 06-05-2022

Answer:

Step-by-step explanation:

Remark

A cyclic quadrilateral have 4 angles that touch the circumference of the circle that contain the 4 angles.

A cyclic quadrilateral has 2 pairs of  angles; each pair contrains 2 angles that are supplementary. This is the property that you need.

Given

y and 4y are supplementry. They are opposite one another.

Solution

y + 4y = 180                 combine

5y = 180                       Divide both sides by 5

5y/5 = 180/5

y = 36

Answer: y = 36

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