Question

If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is......Choose the correct alternative answer and fill in the blank.
(A) 100 °
(B) 80 °
(C) 160 °
(D) 40 °

Answer 1

2x=3x-40
x=40
option D is correct

Answer 2

Answer:

(D) = 40°

Step-by-step explanation:

As per the question,

Let the two opposite angles of a rhombus are ∠A  and ∠B.

Given two angles  of a rhombus are:

∠A = (2x)°

and

∠B = (3x - 40)°

As we know that opposite angles of a rhombus are equal.

Therefore,

∠A = ∠B

(2x)° = (3x - 40)°

⇒ 3x - 2x = 40

⇒ x = 40°

Hence, the required value of x = 40°