Question

PLS HELP ME FIND THE ANSWER OF THIS I CANT GET THE ANSWER AND IM CONFUSED

Answer 1

The Angles (2x + 30)° and (2x + 10)° are forming linear pair , so

`\hookrightarrow \: 2x + 30 \degree+ 2x + 10 \degree= 180 \degree`

`\hookrightarrow \: 4x + 40\degree = 180\degree`

`\hookrightarrow \: 4x = 180\degree - 40\degree`

`\hookrightarrow \: x = 140\degree / 4`

`\hookrightarrow \: x = 35\degree`

now , let's find Angle BOC :

`\hookrightarrow2x + 10\degree`

`\hookrightarrow \: (2 * 35)\degree + 10\degree`

`\hookrightarrow \: 70\degree + 10\degree`

`\hookrightarrow \: 80\degree`