Question

In the given figure, ABCD is a parallelogram Find the value of x

O 25
O 60
O 75
O 45​

Answer 1

To Find,

• The value of x

Solution,

Given that,

• ∠A = ( 3x - 50 )°
• ∠C = ( x + 40 )°

As we know that,

The opposite angles of a parallelogram are equal,

Therefore,

∠A = ∠C

➞ ( 3x - 50 )° = ( x + 40 )°

➞ 3x - 50 = x + 40

➞ 3x - x = 40 + 50

➞ 2x = 90

➞ x = 90 / 2

➞ x = 45

The value of x is 45.

Required Answer :

The value of x is 45. [ Option d. 45 ] is the correct option.

More Information

Properties of a parallelogram are :-

• Opposite sides are parallel.
• Opposite sides are equal.
• Opposite angles are equal.
• Adjacent angles are supplementary ( 180° )
• The diagonals bisects each other.
• Each diagonals bisects the parallelogram, [ divides it into two congruent triangles ]