Or-1+x) and verify your answer.27 The anglof the parallelogram is 45Â

1.	Or-1+x) and verify your answer.27 The anglof the parallelogram is 45Â°. Find the angles of the Parallelogram.e angle between the two altitudes of a parallelogram through the vertex of an obtuse angle
Answer» In quad. DPBQ, by angle sum property we have ∠PDQ + ∠DPB + ∠B + ∠BQD = 360° 45° + 90° + ∠B + 90° = 360° ∠B = 360° – 225 Therefore, ∠B = 135 But ∠B = ∠D = 135 opposite angles of parallelogram As, AB \|\| CD opposite sides of a parallelogram ∠B + ∠C = 180° sum of adjacent interior angles is 180° 135 + ∠C = 180° ∠C = 180° – 135° = 45 Hence ∠A = ∠C = 45 Opposite angles of parallelogram are equal

Or-1+x) and verify your answer.27 The anglof the parallelogram is 45Â°. Find the angles of the Parallelogram.e angle between the two altitudes of a parallelogram through the vertex of an obtuse angle

Answer»

In quad. DPBQ, by angle sum property we have

∠PDQ + ∠DPB + ∠B + ∠BQD = 360°

45° + 90° + ∠B + 90° = 360°

∠B = 360° – 225

Therefore, ∠B = 135

But ∠B = ∠D = 135 opposite angles of parallelogram

As, AB || CD opposite sides of a parallelogram

∠B + ∠C = 180° sum of adjacent interior angles is 180°

135 + ∠C = 180°

∠C = 180° – 135° = 45

Hence ∠A = ∠C = 45 Opposite angles of parallelogram are equal