The two angles of a quadrilateral inscribed in a circle are 82 degrees and 58 degrees. Find the larger of the remaining corners.
| November 19, 2020 | education
The total sum of all the angles of a convex quadrilateral is 360 degrees.
The sums of the values of the opposite angles of a quadrilateral inscribed in a circle are equal to 180 degrees.
Then, the opposite angle to an angle of 82 degrees is 180 – 82 = 98 degrees.
The opposite angle to a 58 degree angle is 180 – 58 = 122 degrees.
Thus, the larger of the remaining angles is 122 degrees.
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