Quadrilateral QRST has vertices at Q (-1, 5), R (2, 8), S (4, 4), and T (1, 1). The measure of Angle Q is 108° and the measure of angle R is 108 - 2x. In 3 sentences in 5th graders response , determine if quadrilateral QRST is a parallelogram, and if so, solve for x. (4 points)

Answer 1

To find out if quadrilateral QRST is a parallelogram, we need to check if the opposite angles are equal. We know Angle Q is 108°, and if Angle R is 108 - 2x, we can set it equal to Angle S, which we can find using the fact that the sum of all angles in a quadrilateral is 360°. So, if we add the angles we have, 108° + (108 - 2x) + Angle S + Angle T = 360°, and we can figure out what x is!