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

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

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

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

$\hookrightarrow \: x = 140\degree \div 4$

$\hookrightarrow \: x = 35\degree$

now , let's find Angle BOC :

$\hookrightarrow2x + 10\degree$

$\hookrightarrow \: (2 \times 35)\degree + 10\degree$

$\hookrightarrow \: 70\degree + 10\degree$

$\hookrightarrow \: 80\degree$