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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∘=115∘ 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∘=115∘ since the opposite angles of a parallelogram are equal. x∘=180∘−(w∘+30∘)=180∘−(115∘+30∘)=180∘−145∘=35∘, because the sum of the angles of △ABC is 180∘, y∘=30∘ and x∘=x∘=35∘ 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∘=115∘ 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∘=115∘ since the opposite angles of a parallelogram are equal. x∘=180∘−(w∘+30∘)=180∘−(115∘+30∘)=180∘−145∘=35∘, because the sum of the angles of △ABC is 180∘, y∘=30∘ and x∘=x∘=35∘ because they are alternate interior angles of parallel lines.

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