Question

In the figure above, lines $l$ and $m$ are not parallel. Which of the following CANNOT be the value of $x$?

• A. ${89}^o$
• B. ${90}^o$
• C. ${91}^o$
• D. ${92}^o$
• E. $93$

Answer 1

The correct option is B ${90}^o$

Given that lines $l$ and $m$ are not parallel.

Among given options, angle $x$ cannot be $90$ because if angle is $90$, then the angle made by line $k$ with lines $l$ and $m$ are equal to $90$.

Therefore the lines $l$ and $m$ will become parallel. (which is not true).

Therefore angle cannot be $90$.