Question

If the angle in a major sector is $x$ and in a minor sector is $y$, then

• A. $x=y$
• B. $x>y$
• C. $x+y={180}^o$
• D. $x<y$

Answer 1

The correct option is B $x>y$

From the first figure, $\angle AOC=y$ is the measure of interior angle of arc $AC$.

From the second figure, $y$ is the measure of exterior angle of arc $AC$.

And we know that, interior angle is less than ${180}^o$.

So, the minor angle will always be less than the major angle.

Hence, $x>y$