Question

In figure given below, find the value of $\angle$1 + $\angle$2.

• A. 270${}^{\circ }$
• B. 190${}^{\circ }$
• C. Insufficient Data
• D. 180${}^{\circ }$

Answer 1

The correct option is B 190${}^{\circ }$

$\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°
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°
$\therefore \angle 1+\angle 2=108°+82°=190°$