Answer:
67.38 degrees
Step-by-step explanation:
Here, we want to find the value of the angle at X
We are going to use the appropriate trigonometric ratio here
From the question, the vertex X faces the side 12 and that makes the side the opposite
The side 13 faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects both is the sine
so we have that;
sine X = 12/13
X = arc sin (12/13)
X = 67.38
ANSWER
The correct answer is option B
EXPLANATION
The equations are
and
When we multiply the second equation by 
, we obtain;
When we combine this new equation with equation (1).
We can see that 
has been eliminated from the equation.
We can then, solve for 
and then substitute the result in to any of the equations to find .
Hence the correct answer is option B
