Question

Find the value of x ​

Answer 1

110°

Explanation:

In triangle AOB

OA = OB (radii of same circle)

`m\angle OAB = m\angle OBA =20\degree`

`m\angle AOB = 180\degree - (20\degree +20\degree)`

`m\angle AOB = 180\degree - 40\degree`

`m\angle AOB = 140\degree`

`m\widehat {ACB} =m\angle AOB = 140\degree`

(measure of minor arc is equal to corresponding central angle)

`x\degree = (1)/(2) (360\degree - 140\degree)`

(inscribed angle theorem)

`x\degree = (1)/(2) * 220\degree`

`\huge\purple {x = 110}`