C is a point on the minor arc AB of the circle, with centre O. Given `angleACB= x^0` and Calculate x, if ACBO is a parallelogram.

Explanation

As we know that major arc BA subtends `anglex` at a point on the remaining part of the circle.

Reflex `angleAOB=2x`

So, `360^*-y=2x`

`y=360^*-2x`

`therefore` ABCO is a parallelogram.

Now, x=y

`x=360^*-2x`

`x=120^*`