Answer :
Final answer:
The value of x in triangle BCD is 56 degrees. Hence, option A is the correct answer.
Explanation:
To find the value of x in triangle BCD where angle B is 91 degrees, angle C is 33 degrees, and angle D is x degrees, we can use the fundamental property of triangles: the sum of the interior angles in any triangle is always 180 degrees. Therefore, to find x, you can use the following formula:
x = 180 - (angle B + angle C)
By substituting the given angle measures into the formula:
x = 180 - (91 + 33)
x = 180 - 124
x = 56 degrees
So, the value of x is 56 degrees, which corresponds to option (a).
