Question

if the opposite angles of a rhombus are (x6)° and (8x-80)° then find the value of x​

Answer 1

Answer:

The value of x=40°.

Step-by-step explanation:

A rhombus is a parallelogram.

So, the opposite angle is congruent with each other.

∴From this we can write that

⇒(6x)°=(8x-80)°

⇒6x-8x=-80°

⇒-2x=-80°  (∵there was a minus sign in both side we cancel it out)

⇒2x=80°

∴x=40°

∴ The value of x=40°

Answer 2

Answer:

The value of x is 40°

Step by step explanation:

Given:

Angle 1 =

$6x$

Angle 2 =

${8x - 80}$

To Find :

The value of :

$x$

According to the question the angles are of a rhombus and are opposite,so this means angle 1= angle 2

so,puting the values:

Execution=

$= 6x = 8x - 80 \\ = 6x - 8x = - 80 \\ = - 2x = - 80 \\ = x = - 80 \div - 2 \\ = x = 40$

Therefore,the value of x=40°