Question

In figure given below, Find the value of $\angle$1 + $\angle$2. [2 Mark]

Answer 1

$\angle$1 and 72${}^{\circ }$ form a linear pair.
So, $\angle$1 + 72${}^{\circ }$ = 180°
$\Rightarrow$ $\angle$1 = 180°- 72${}^{\circ }$
$\Rightarrow$ $\angle$1 = 108° [1 Mark]
Similarly, $\angle$2 and 98${}^{\circ }$ form a linear pair.
So, $\angle$2 + 98${}^{\circ }$ = 180°
$\Rightarrow$ $\angle$2 = 180°- 98${}^{\circ }$
$\Rightarrow$ $\angle$2 = 82°
$\therefore \angle 1+\angle 2=108°+82°=190°$ [1 Mark]