Question

In figure, if $AB\parallel CD,FE\perp CD$ and $\angle GED={126}^o$, find $\angle GEF$.

• A. $\angle GEF={34}^o$
• B. $\angle GEF={36}^o$
  
• C. $\angle GEF={32}^o$
  
• D. $\angle GEF={38}^o$
  

Answer 1

The correct option is B $\angle GEF={36}^o$

To solve this question, we will use the properties of parallel lines and transversal

$\angle GED=\angle FED+\angle GEF$

But we know that $\angle FED={90}^o$ (made by a perpendicular line)

So, $\angle GEF={126}^o-{90}^o={36}^o$