**Explanation:**

To understand why the angle of the major sector and the corresponding minor sector of a circle are conjugate angles, let's first define what these terms mean.

**Major Sector:** A major sector is a region of a circle bounded by two radii and an arc. The angle subtended by the arc at the center of the circle is called the angle of the major sector.

**Minor Sector:** A minor sector is a region of a circle bounded by two radii and an arc. The angle subtended by the arc at the center of the circle is called the angle of the minor sector.

**Conjugate Angles:** Conjugate angles are pairs of angles that add up to 360 degrees. In other words, if two angles are conjugate angles, their sum is equal to a full revolution.

Now, let's consider a circle with center O and two radii OA and OB. The angle of the major sector is the angle AOB, while the angle of the minor sector is the angle AOB as well.

Since the major sector and the minor sector are bounded by the same two radii and the same arc, their central angles (angles AOB) are equal. Therefore, the angle of the major sector and the angle of the minor sector are conjugate angles.

To further illustrate this concept, consider a circle with a central angle of 60 degrees. The major sector would have an angle of 60 degrees, and the minor sector would also have an angle of 60 degrees. The sum of these angles is equal to 120 degrees, which is less than a full revolution (360 degrees). Thus, they are not supplementary or reflex angles.

Hence, the correct answer is option 'A' - conjugate angles.

If you add the angle subtended by major sector and minor..it will always give 360 degree

And Conjugate angels are those which add up to 360 degrees