Question

If opposite angles of a rhombus are (2x)°and (3x-40) then
value of x is​

Answer 1

Answer :

The value of x is 40.

Step-by-step explanation :

To Find,

• The value of x

Solution,

Figure,

• Refer the attachment.

Given that,

The opposite angles of rhombus are,

• 2x°
• ( 3x - 40 )°

As we know that,

Opposite angles of rhombus are equal,

Therefore,

➠ 3x - 40 = 2x

➠ 3x - 2x = 40

➠ x = 40 ★

The value of x is 40.

More Information

Rhombus :-

A parallelogram having all sides equal is called a rhombus.

Some properties and Rhombus are :-

• Opposite sides are parallel.
• Diagonals bisect each other at right angle.
• All sides are equal.
• Diagonals bisects the angles of the rhombus.

Answer 2

$\sf{\bold{\blue{\underline{\underline{Given}}}}}$

The opposite angle of a rhombus

☆ 2x

☆ (3x-40)⠀⠀⠀⠀

$\sf{\bold{\red{\underline{\underline{To\:Find}}}}}$

● Value of x.⠀⠀⠀⠀

$\sf{\bold{\purple{\underline{\underline{Solution}}}}}$

we know that,

$\boxed{\orange{\underline{Opposite~ angle~ are ~equal~ in~ a~ rhombus}}}$

Here,

one angle =2x [Given]

Opposite angle = (3x-40) [Given]

sooo,

☆$\rightsquigarrow$ $\tt{2x=3x-40}$

☆$\rightsquigarrow$ $\tt{3x=2x+40}$

☆$\rightsquigarrow$ $\tt{3x-2x=40}$

☆$\rightsquigarrow$ $\tt{x=40}$

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

$\therefore$ Value of $\pink{\underline{X\implies{40}}}$

More information:-

Rhombus::-

$\rightsquigarrow$ :Opposite side of rhombus are parralogram.

$\rightsquigarrow$ : All sides of rhombus are equal.

$\rightsquigarrow$ :Digonals bisect each other at right angle.

⠀⠀⠀⠀