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  • 13.2: Parallelograms
    https://math.libretexts.org/Courses/Coalinga_College/Math_for_Educators_(MATH_010A_and_010B_CID120)/13%3A_Area_Pythagorean_Theorem_and_Volume/13.02%3A_Parallelograms
    \(w^{\circ} = 115^{\circ}\) since the opposite angles of a parallelogram are equal. \(x^{\circ} = 180^{\circ} -(w^{\circ} + 30^{\circ}) = 180^{\circ} - (115^{\circ} + 30^{\circ}) = 180^{\circ} - 145^{...\(w^{\circ} = 115^{\circ}\) since the opposite angles of a parallelogram are equal. \(x^{\circ} = 180^{\circ} -(w^{\circ} + 30^{\circ}) = 180^{\circ} - (115^{\circ} + 30^{\circ}) = 180^{\circ} - 145^{\circ} = 35^{\circ}\), because the sum of the angles of \(\triangle ABC\) is \(180^{\circ}\), \(y^{\circ} = 30^{\circ}\) and \(x^{\circ} = x^{\circ} = 35^{\circ}\) because they are alternate interior angles of parallel lines.
  • 3.1: Parallelograms
    https://math.libretexts.org/Bookshelves/Geometry/Elementary_College_Geometry_(Africk)/03%3A_Quadrilaterals/3.01%3A_Parallelograms
    \(w^{\circ} = 115^{\circ}\) since the opposite angles of a parallelogram are equal. \(x^{\circ} = 180^{\circ} -(w^{\circ} + 30^{\circ}) = 180^{\circ} - (115^{\circ} + 30^{\circ}) = 180^{\circ} - 145^{...\(w^{\circ} = 115^{\circ}\) since the opposite angles of a parallelogram are equal. \(x^{\circ} = 180^{\circ} -(w^{\circ} + 30^{\circ}) = 180^{\circ} - (115^{\circ} + 30^{\circ}) = 180^{\circ} - 145^{\circ} = 35^{\circ}\), because the sum of the angles of \(\triangle ABC\) is \(180^{\circ}\), \(y^{\circ} = 30^{\circ}\) and \(x^{\circ} = x^{\circ} = 35^{\circ}\) because they are alternate interior angles of parallel lines.

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