the opposite angles of a parallelogram are 3x-2 and 50-x?
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Originally Answered: What is the measure of each angle when two opposite angles of a parallelogram is (3x-2) degree and (50-x) degree? Hence, x =13, so these two angles are 50 - 13 = 40 - 3 = 37.
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Properties of a Parallelogram and Distance Formula: The properties of a parallelogram are: (i) The sum of all the angles of a parallelogram is always equal to 360o . (ii) The sum of any two consecutive angles of a parallelogram is 180o . (iii) The opposite angles of a parallelogram are also the same.
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The Sum of interior angles in a parallelogram equals a complete angle . As per the question, The angles of given questions are 30x , 40y,30x , 40y . 2(3x+4y) = 36 . 3x+ 4y = 18.
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['Opposite sides are congruent (AB = DC).', 'Opposite angels are congruent (D = B).', 'Consecutive angles are supplementary (A + D = 180°).', 'If one angle is right, then all angles are right.', 'The diagonals of a parallelogram bisect each other.', 'Each diagonal of a parallelogram separates it into two congruent triangles.']
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In a parallelogram if two diagonals are equal, then the parallelogram is a rectangle.So, ABCD is a rectangle.It is known that each interior angle of a rectangle is 90 degree. Since ABC is an interior angle of rectangle ABCD, so measure of angle ABC is 90 degree.
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Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.
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A Parallelogram is a flat shape with opposite sides parallel and equal in length. Angles "a" and "b" add up to 180°, so they are supplementary angles. NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
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1. Opposite Sides Theorem Converse: If both pairs of opposite sides of a quadrilateral are congruent, then the figure is a parallelogram. 2. Opposite Angles Theorem Converse: If both pairs of opposite angles of a quadrilateral are congruent, then the figure is a parallelogram.
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Properties of a Parallelogram and Distance Formula: (i) The sum of all the angles of a parallelogram is always equal to 360o . (ii) The sum of any two consecutive angles of a parallelogram is 180o . (iii) The opposite angles of a parallelogram are also the same.
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Which property is not true for all parallelograms? (1) Opposite angles are congruent. (2) Opposite sides are congruent. (3) Consecutive angles are supplementary.
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Parallelogram. A Parallelogram is a flat shape with opposite sides parallel and equal in length. Angles "a" and "b" add up to 180°, so they are supplementary angles. NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
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The opposite sides of a parallelogram are equal. ABCD is a parallelogram. To prove that AB = CD and AD = BC.
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Theorem 47: If both pairs of opposite angles of a quadrilateral are equal, then it is a parallelogram. ... Theorem 49: If one pair of opposite sides of a quadrilateral is both equal and parallel, then it is a parallelogram. Theorem 50: If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
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Parallelogram. A Parallelogram is a flat shape with opposite sides parallel and equal in length. Angles "a" and "b" add up to 180°, so they are supplementary angles.
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THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite angles congruent. THEOREM: If a quadrilateral is a parallelogram, it has consecutive angles which are supplementary. THEOREM: If a quadrilateral is a parallelogram, it has diagonals which bisect each other.
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THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite angles congruent. THEOREM: If a quadrilateral is a parallelogram, it has consecutive angles which are supplementary. ... THEOREM: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.
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The Parallelogram A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!