Question

If m∠HGF is 89°. Then m∠HGI = ______.
A) 89°
B) 91°
C) 100°
D) 101°

Answer 1

the answer is b) 91° reason being is because 89 + 91= 180 which is a straight line.

Answer 2

Answer: B) 91°

Step-by-step explanation:

From the given figure we can see that FG is a straight line.

We know that the straight angle (angle made by straight line) is $180^{\circ}$

Therefore, $m\angle{HGF}+m\angle{HGI}=180^{\circ}$ [∵linear pair]

$\Rightarrow89^{\circ}+m\angle{HGI}=180^{\circ}\\\\\Rightarrow m\angle{HGI}=180^{\circ}-89^{\circ}\\\\\Rightarrow m\angle{HGI}=91^{\circ}$