Q. 35.0( 2 Votes )

If one angle of a parallelogram is 36° less than the twice its adjacent angles, then find the angles of the parallelogram.

Answer :

Sum of adjacent angles of parallelogram = 180°


Given:


One angle of Parallelogram = 2 (adjacent angle) – 36°


Let the angle of parallelogram be x



Sum of adjacent angles of parallelogram = 180°



2x +x + 36° = 180°


3x = 180° – 36°


3x = 144°



x = 48°



Now from the diagram, we know that,


∠A = 48°


∠B = 180° – 48° = 132°


∠C = ∠A = 48°


∠D = ∠B = 132°


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