To determine if quadrilateral QRST is a parallelogram, we need to remember that the opposite angles should add up to 180 degrees. Angle Q is 108 degrees, and angle R is \(108 - 2x\), so we can set up the equation \(108 + (108 - 2x) = 180\). Solving this, we get \(216 - 2x = 180\), which simplifies to \(2x = 36\) and \(x = 18\), confirming that quadrilateral QRST is a parallelogram!
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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 7th graders response , determine if quadrilateral QRST is a parallelogram, and if so, solve for x.
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