Question

what is the value of x?
a 28
b 44
c 136
d 224

Explanation:

Step1: Find the third - angle of the triangle

The sum of interior angles of a triangle is 180°. Let the third - angle of the triangle be $z$. Then $z=180-(82 + 54)$.
$z=180 - 136=44$.

Step2: Use the property of vertical angles

The angle $x$ and the third - angle of the triangle are vertical angles. Vertical angles are equal. So $x = 44$.

Answer:

B. 44