Question

opposite angles of a rhombus are (2x) ° and (3x - 40) ° .Find value of x.
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Answer 1

ANSWER:

X=40°

EXPLANATION:

As we know that Opposite Angles in a rhombus are always equal and adjacent angles are sum of 180°. Here in this question we have given two Opposite Angles of a rhombus to be (2x)° and (3x-40)° and we have to find the value of x.

So let's start!

(2x)°=(3x-40)°   [∵ Opposite Angles of rhombus]

⇒  2x=3x-40°

⇒  40°=3x-2x

⇒  40°=x

Hence the required value of x is 40°.

ADDITIONAL INFORMATION:

Learn more about rhombus:-

→ All sides in a rhombus are always equal.

→ The diagonals of a rhombus bisects each other at an angle of 90°.

→ A square can also be termed as a rhombus because all sides of square also equal and diagonals bisect each other at 90° in a square.

Answer 2

Answer:

x = 40

Explanation:-

We know that,

Opposite angles

are equal in a

Rhombus.

One angle = 2x

Opposite angle = 3x-40

=> 2x = 3x -40

=> 2x-3x = -40

=> -x = -40

=> x = 40