Question

Thee questionn is beloww

Answer 1

Given:

`m\angle ABC=60`

To find:

The
`m\angle ADC`.

Solution:

In circle B,
`\angle ABC` is central angle and
`\angle ADC` is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

`m\angle ABC=2(m\angle ADC)` [Central angle theorem]

`60=2(m\angle ADC)`

Divide both sides by 2.

`(60)/(2)=m\angle ADC`

`30=m\angle ADC`

Therefore,
`m\angle ADC=30`.