annalove1738 annalove1738
  • 22-04-2016
  • Mathematics
contestada

ABCD is a quadrilateral. Three of the angles of ABCD measure 100°, 87°, and 106°, respectively. Find the measure of the missing angle.

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taskmasters
taskmasters taskmasters
  • 01-05-2016
A quadrilateral is a polygon with four sides and four angles like a square, rectangle, diamond, or a trapezoid. A condition to be met for the angles of a quadrilateral is that the angles should sum up to 360 degrees. The four angles of a quadrilateral can be a combination of a right angle, acute angle, or an obtuse angle. Thus, for this problem, the missing angle is:

360°-100°-87°-106° = 67°
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Cutiepatutie
Cutiepatutie Cutiepatutie
  • 17-12-2019

360°-100°-87°-106° = 67°

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