If one angle of a parallelogram is twice of its adjacent angle find the angles of the Parallelogram - Maths - Areas of Parallelograms and Triangles

Question

If one angle of a parallelogram is twice of its adjacent angle find
the angles of the Parallelogram

Ashutosh Verma · Accepted Answer

Let ABCD be the parallelogram
Let ∠A = x, then ∠B = 2xNow, ∠C = ∠A = x  opposite angles of parallelogram are equal∠D = ∠B = 2x  opposite angles of parallelogram are equalNow, by angle sum property of quadrilateral,∠A+∠B+∠C+∠D = 360°⇒x+2x+x+2x=360°⇒6x = 360°⇒x = 60So,  ∠C = ∠A = 60°∠D = ∠B = 120°

If one angle of a parallelogram is twice of its adjacent angle find the angles of the Parallelogram.