Question

In the given figure, $AB\parallel GH\parallel DE$ and $GF\parallel BD\parallel HI$, $\angle FGC={80}^{\circ }$. Find the value of $\angle CHI$.

• A. ${80}^{\circ }$
• B. ${120}^{\circ }$
• C. ${100}^{\circ }$
• D. ${160}^{\circ }$

Answer 1

The correct option is A ${80}^{\circ }$

$GF\parallel HI$ and $GH$ is the transversal line.
So, $\angle FGC=\angle CHI$ (Alternate interior angles)
$\therefore \angle CHI={80}^{\circ }$.