Question

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

30
40
75
45​

Answer 1

Answer:

45

Step-by-step explanation:

3x-50 = x+40 (opposite angles of parallelogram are equal)

3x-x = 40 + 50

2x = 90

x= 45

Answer 2

We have:-

A parallelogram ABCD with opposite angles A and C marked as 3x - 50° and x + 40°..

To FinD:-

Value of x?

Solution:-

We know that in a parallelogram like ABCD, the opposite angles are equal in measure.

That means,

∠A = ∠C

∠B = ∠D

Hence,

⇒ 3x - 50° = x + 40°

⇒ 3x - x = 90°

⇒ 2x = 90°

⇒ x = 45°

Therefore:-

The required value of x is 45° (D)

Note:

The opposite angles of a parallelogram are equal in measure.

The adjacent angles are supplementary and add upto 180°.