Opposite angles of a parallelogram are 3 x 2 and 50 x. Find the measure of each angle of the parallelogram.....
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Two adjecent angles of a parallelogram are (4x-1)and (5x+10) find the angles of a parallelogram
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Two adjecent angles of a parallelogram are (4x-1)and (5x+10) find the angles of a parallelogram
Answer
Hint: We know that the opposite angles of a parallelogram are equal. So there are only 2 unique angles in a parallelogram. Here the two opposite angles, which are equal, are given and we have to solve for x and find the measure of these two opposite angles. Equate ${\left( {5x - 2} \right)^ \circ }$ and ${\left( {40 - x} \right)^ \circ }$to find the value of x.
Complete step-by-step answer:
Note: A parallelogram is a quadrilateral. The opposite sides of a parallelogram are parallel and equal and the opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.