Respuesta :

Answer:

x = 3

Step-by-step explanation:

m < T = m < R  (Because they are opposite angles of a parallelogram). Therefore:-

40x + 2 = 122

40x = 120

x = 120/40

x = 3

Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal. The value of the x is 3 units.

Given-

For the parallelogram angle T is (40x+2) degrees.

The angle R is 122 degrees.

To solve this the it should be known about the angle of the parallelogram.

Parallelogram-

Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal.

As in the given figure the angle T and angle R is the opposite angle. Thus angle T and angle R will be equal to the each other. Thus,

[tex]\angle T= \angle R[/tex]

Put the values of the angle in the above equation. Thus,

[tex]40x+2=122[/tex]

[tex]40x=122-2[/tex]

[tex]40x=120[/tex]

[tex]x=\dfrac{120}{40}[/tex]

[tex]x=3[/tex]

Hence the value of the x  is 3.

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