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Three of the angles in a quadrilateral measure 268∘,268^\circ, 27∘27^\circ and 52∘52^\circ. What is the measure of the fourth angle? \newline‾∘\underline{\hspace{1cm}}^\circ

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Q. Three of the angles in a quadrilateral measure 268∘,268^\circ, 27∘27^\circ and 52∘52^\circ. What is the measure of the fourth angle? \newline‾∘\underline{\hspace{1cm}}^\circ
  1. Geometric Property: The sum of the angles in any quadrilateral is 360360 degrees. This is a known geometric property that we will use to find the measure of the fourth angle.
  2. Adding Given Angles: First, we add up the three given angles: 268°268°, 27°27°, and 52°52°.\newlineCalculation: 268°+27°+52°=347°268° + 27° + 52° = 347°\newlineWe have now found the sum of the three given angles.
  3. Subtracting Sum of Angles: To find the measure of the fourth angle, we subtract the sum of the three given angles from the total sum of angles in a quadrilateral.\newlineCalculation: 360∘−347∘=13∘360^\circ - 347^\circ = 13^\circ\newlineThe measure of the fourth angle is therefore 1313 degrees.

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