Answer: Option C.
Step-by-step explanation:
Observe the figure attached.
The sum of the angles ∠b and 47° is 90 degrees. (They are complementary angles).
Then the measure of ∠b is:
[tex]b+47\°=90\°\\b=43\°[/tex]
By definition, the diagonals of a rectangle are congruent. Therefore, the triangles formed when they intersect each other are isosceles triangles. Therefore:
∠b=∠a=43°
By definition, the sum of the interior angles of a triangle is 180 degrees. Then, you can calculate the value of x as following:
[tex]x+b+a=180\°[/tex]
Solve for x, then the result is:
[tex]x=180\°-43\°-43\°\\x=94\°[/tex]
