Question

The options are
40
80
120
140

Answer 1

Here we go ~

According to given figure,

`\qquad \sf  \dashrightarrow \: \angle ABC + 60° = 180°`

`\qquad \sf  \dashrightarrow \: \angle ABC = 180 \degree - 60 \degree`

[ By linear pair ]

`\qquad \sf  \dashrightarrow \: \angle ABC = 120 \degree`

now, we can see that :

`\qquad \sf  \dashrightarrow \: \angle ABC + \angle BAC = \angle 1`

[ By Exterior angle property of Triangle ]

`\qquad \sf  \dashrightarrow \: \angle 1 = 20 \degree + 120 \degree`

`\qquad \sf  \dashrightarrow \: \angle 1 = 140 \degree`