Question

Need help ASAP no fake links!!! Find the measure of angle C, and find the measure of Arc BC

Answer 1

`\huge \purple {\boxed { m\angle C = 47\degree}}`

`\huge \red {\boxed { \widehat{BC}=96\degree}}`

Explanation:

By inscribed angle theorem:

`m\angle C = (1)/(2) m(\widehat{AD})`

`\therefore m\angle C = (1)/(2)* 94\degree`

`\huge \purple {\boxed {\therefore m\angle C = 47\degree}}`

Again by inscribed angle theorem:

`m\angle A = (1)/(2) m(\widehat{BC})`

`\therefore 48\degree = (1)/(2) m(\widehat{BC})`

`\therefore 48\degree* 2 = m(\widehat{BC})`

`\huge \red {\boxed {\therefore m(\widehat{BC}) =96\degree}}`