Add 114,92 and 62 together you'll get 268. A polygon with 4 sides the angles have to equal to 360. So subtract 360 from 268. Then you'll get your answer of 92
the sum of all of the angles in a quadrilatteral is 360. so add together the 3 given angles. this can be modeled by: 62+92+114+x=360 simplify a little. so: 268+x=360 subtract 368 from both sides. so: x=92. the missing angle has a measurement of 92 degrees
