Question

In the diagram below, there are four circles, each with an angle formed in the center and a point on the remaining part of the circle. How many circles do you think justifies the statement : "The Angles subtended by an arc in the same segment of a circle are equal."?

• A. $\text{One}$
• B. $\text{Two}$
• C. $\text{Three}$
• D. $\text{All of them}$

Answer 1

The correct option is D $\text{All of them}$

All the angles subtended at the circumference are half of the angles subtended at the center of their respective circle, as shown in the figure.
So, each circle justifies the statement, "The Angles subtended by an arc in the same segment of a circle are equal.