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Answer:2. Given: ∠V = 190°, ∠W = (2x + 29)°, ∠X = (10x - 27)°, and an equation 10x - 27 + 2x + 29 = 180°.Solve the equation:10x - 27 + 2x + 29 = 18012x + 2 = 18012x = 178x = 14.8333 (or 178/12, rounded to 14.83)Calculate ∠W:2x + 29 = 2(14.8333) + 29 = 29.6666 + 29 = 58.67°Since ∠W and ∠Y are opposite angles, ∠Y = ∠W = 58.67°.Problem 3: Parallelogram LMNOIn a parallelogram, opposite sides are equal. So, LM = ON and LO = MN.Given: LM = 6x - 7, ON = 2x + 9, LO = 12, MN = y + 3.Set LM = ON: 6x - 7 = 2x + 96x - 2x = 9 + 74x = 16x = 4Set LO = MN: 12 = y + 3y = 12 - 3y = 9Find the lengths:MN = y + 3 = 9 + 3 = 12LM = 6x - 7 = 6(4) - 7 = 24 - 7 = 17Problem 4: Parallelogram EFGHOpposite sides are equal: FG = EH and FE = GH.Given: FG = 4z - 9, EH = 2z, FE = 3w, GH = w + 8.Set FG = EH: 4z - 9 = 2z4z - 2z = 92z = 9z = 4.5Set FE = GH: 3w = w + 83w - w = 82w = 8w = 4Find the lengths:FJ = 3w = 3(4) = 12GJ = 2z = 2(4.5) = 9

Answered by mjPcontiga | 2025-04-25

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Answered by alliyah018 | 2025-04-25