poppy26
poppy26 poppy26
  • 21-06-2018
  • Mathematics
contestada

give the angle of Y

give the angle of Y class=

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jdoe0001 jdoe0001
  • 21-06-2018
check the picture below.

by the "inscribed angle theorem", we know the arc at "x" is 116°, a full circle will have 360°, therefore if we go around the O vertex, the interior angle at O is 360° - x, or 244°.

well, the sum of all interior angles in a polygon is

180(n - 2), where n =  number of sides.

in this case, we have a "concave quadrilateral" inside, so it has 4 sides, so the sum of all its interior angles is 180( 4 - 2), or 360°.

we know the other angles, thus y = 360 - 244 - 38 - 58
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