Question

question 1 - 2 see the figure below what is the value of x? 48 80 91 141

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. The angle adjacent to the $63^{\circ}$ angle and $x$ are vertical angles.

Step2: Use the linear - pair property

The sum of adjacent angles forming a straight - line is $180^{\circ}$. Let the adjacent angle to the $63^{\circ}$ angle be $y$. So $63 + y=180$. Then $y = 180 - 63=117^{\circ}$.
Since $x$ and $y$ are vertical angles, $x = y$.

Answer:

$117$ (It seems there is a mis - typing in the options provided in the original problem as the correct answer based on the above steps is $117$ and it's not among the given options. But following the correct geometric principles, the value of the angle $x$ should be $117^{\circ}$)