Question

In the figure above, what is the value of $x$?

• A. ${72}^o$
• B. ${70}^o$
• C. ${68}^o$
• D. ${66}^o$
• E. $64$

Answer 1

The correct option is A ${72}^o$

We know that sum of angles in a triangle is $180$ degrees.

$\Rightarrow x+a+b+b+a=180$

$\Rightarrow x=180-2(a+b)$
$\Rightarrow 126+a+b=180$

$\Rightarrow a+b=54$
$\Rightarrow x=180-108=72$