- -
Solved Examples
Click on a 'View Solution' below for other questions:
ff  Find the variable x.[Given a = 2x° and b = 3x°.]  ff View Solution
ff  PQRS is a parallelogram. What is the measure of 2? [Given x = 57.]  ff View Solution
ff  What is the value of x and y in the figure?
[Given a = 4 and b = 9.]  ff
View Solution
ff  Find the value of the variables x and y. [Given a = 5, b = 20, c = 9 and d = 3.]  ff View Solution
ff  Find the value of the variables p and q.[Given x = 5q - 15.]  ff View Solution
ff  Find the variables P, Q and R. [Given a = 13, b = 23, and x = 75.]
  ff
View Solution
ff  Find the m D of the parallelogram ABCD.
[Given x = 106.]  ff
View Solution
ff  The measure of one angle of a parallelogram is 70. The measures of other three angles are  ff View Solution
ff  ABCD is a parallelogram in which DAE = 40°, DCE = 40°, CED = 57° then ABE = ?.  ff View Solution
ff  Find the value of each variable in the parallelogram shown. [Given a = 81, b = 9, c = 4, d = 2, and x = 8.]
  ff
View Solution
ff  Find the value of x if PQRS is a parallelogram. [Given (ax + b)o = (5x + 2)o, c = 7 and y = 34.]  ff View Solution
ff  Find the variables a and x. [Given m = 7, a = 3, c = 8, b = 5 and d = 40.]
  ff
View Solution
ff  Two adjacent angles of a parallelogram are in the ratio 4 : 3. Find the measures of all angles.  ff View Solution
ff  Find the values of a, p and q. [Given x = 26.]
  ff
View Solution
ff  The sum of two opposite angles of a parallelogram is 136°. Find the measures of all the angles of the parallelogram.
  ff
View Solution
ff  In the parallelogram, m = 75, n = 105, a = 3, c = 2 and b = 15. Find the value of x.
  ff
View Solution
ff  ABCD is a parallelogram. CBF and EBF are in the ratio 5 : 4. Find mADC.[Given x = 120.]
  ff
View Solution
ff  If mBCD = 118, then find mCBE.
  ff
View Solution
ff  The perimeter of parallelogram WXYZ is 50 cm and WX is 11 cm. Find the length of the other sides.  ff View Solution
ff  The perimeter of a parallelogram is 110 cm. If one of the sides is greater than the other by 5 cm, then find the length of the sides of the parallelogram in cm.  ff View Solution
ff  The ratio of two sides of a parallelogram is 2 : 3. If its perimeter is 50 cm, then find the lengths of the sides of the parallelogram.
  ff
View Solution
ff  PQRS is a parallelogram, SPQ = x° and SQR = y°. Calculate RSQ. [Given x = 75 and y = 47.]
  ff
View Solution
ff  Two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measures of all angles.  ff View Solution
ff  PQRS is a parallelogram. What is the measure of 2? [Given x = 54.]  ff View Solution
ff  What is the value of x and y in the figure?
[Given a = 3 and b = 6.]  ff
View Solution
ff  The measure of one angle of a parallelogram is 60. The measures of other three angles are  ff View Solution
ff  Two adjacent angles of a parallelogram are in the ratio 5 : 4. Find the measures of all angles.  ff View Solution
ff  Find the value of x from the given parallelogram.  ff View Solution
ff  Find the value of x in the parallelogram.  ff View Solution
ff  The ratio of two sides of a parallelogram is 2 : 3. If its perimeter is 70 cm, then find the lengths of the sides of the parallelogram.
  ff
View Solution
ff  Choose the quadrilaterals whose diagonals intersect at right angles.
1. Square
2. Rectangle
3. Kite
4. Rhombus
  ff
View Solution
ff  In the parallelogram ABCD, AC = 18 cm, PQ = 4 cm. Find the measure of AQ.
  ff
View Solution
ff  Which of the following statements is true?
  ff
View Solution
ff  Which of the following statement is not correct?
  ff
View Solution
ff  ABCD is a parallelogram in which DAE = 40°, DCE = 36°, CED = 63° then ABE = ?.  ff View Solution
ff  The sum of two opposite angles of a parallelogram is 144°. Find the measures of all the angles of the parallelogram.
  ff
View Solution
ff  The perimeter of parallelogram WXYZ is 44 cm and WX is 10 cm. Find the length of the other sides.  ff View Solution
ff  The perimeter of a parallelogram is 120 cm. If one of the sides is greater than the other by 5 cm, then find the length of the sides of the parallelogram in cm.  ff View Solution
ff  Select the correct statements.
I. Diagonals of a parallelogram bisect the opposite angles.
II. Diagonals of a parallelogram divide it into four congruent triangles.
III. Opposite sides of a parallelogram are congruent and parallel.
  ff
View Solution
ff  Select the correct statement .
1. Both the diagonals of a rectangle, a square and a rhombus are equal.
2. One of the diagonals of a kite is perpendicular bisector of the other.
3. Diagonals of a rectangle are perpendicular to each other.
  ff
View Solution
ff  Find the value of each variable in the parallelogram shown. [Given a = 77, b = 11, c = 6, d = 3, and x = 12.]
  ff
View Solution
ff  Find the values of x, y for the parallelogram shown.
  ff
View Solution
ff  Find the values of P and Q in the parallelogram.  ff View Solution
ff  Find the value of x.
  ff
View Solution
ff  Find the measures of the angles of the parallelogram.  ff View Solution
ff  Find the variables a and x. [Given m = 5, a = 4, c = 6, b = 4 and d = 10.]
  ff
View Solution
ff  Find the values of a, p and q. [Given x = 16.]
  ff
View Solution
ff  What are the values of r and z?  ff View Solution
ff  In the parallelogram, m = 80, n = 100, a = 3, c = 4 and b = 7. Find the value of x.
  ff
View Solution
ff  If mBCD = 104, then find mCBE.
  ff
View Solution
ff  Find the values of p and q for the rectangle shown.  ff View Solution
ff  Find the value of x of the parallelogram shown.
  ff
View Solution
ff  Find the positive values of a, b, c for the given square.
  ff
View Solution
ff  Find the value of x in the parallelogram.  ff View Solution
ff  Find the value of x for the parallelogram shown.
  ff
View Solution
ff  Which of the following is / are correct with respect to a parallelogram?
I. Diagonals bisect each other.
II. Adjacent angles are supplementary.
III. Opposite sides are congruent and parallel.  ff
View Solution
ff  Find the value of the variables x and y. [Given a = 9, b = 40, c = 10 and d = 3.]  ff View Solution
ff  Find the value of the variables p and q.[Given x = 7q - 10.]  ff View Solution
ff  Find the m D of the parallelogram ABCD.
[Given x = 109.]  ff
View Solution
ff  Find the variables P, Q and R. [Given a = 19, b = 29, and x = 81.]
  ff
View Solution
ff  Find the value of m and n in the figure shown.  ff View Solution
ff  Find the variables x and y.  ff View Solution
ff  M and N are the mid points of the sides AB and AD of the parallelogram ABCD. PN parallel to AB and PM parallel to AD. Select the correct statement / statements.
1. P is the point of intersection of the diagonals
2. Perimeter of AMPN is 14of the perimeter of ABCD
3. AM · ND = AN · MB  ff
View Solution
ff  Find the value of x if PQRS is a parallelogram. [Given (ax + b)o = (4x + 6)o, c = 6 and y = 32.]  ff View Solution
ff  In the parallelogram ABCD, BF¯ bisects CBE and is parallel to AC¯. Select the possibilities.
1. AB = BC
2. mABO = mCBO
3. AC¯ BD¯
  ff
View Solution
ff  ABCD is a parallelogram. CBF and EBF are in the ratio 3 : 2. Find mADC.[Given x = 120.]
  ff
View Solution
ff  PQRS is a parallelogram, SPQ = x° and SQR = y°. Calculate RSQ. [Given x = 75 and y = 48.]
  ff
View Solution
ff  Find the perimeter of ΔAOE, if E, F are the midpoints of AB and CD respectively of parallelogram ABCD and AB = 20, AC = 28, EF = 16.
  ff
View Solution