Question

Consider the following two statements:

Statement - 1: Angles in the same segment of a circle are equal.

Statement - 2: Angle in a semicircle is a straight angle.

Which of the following is correct?

• A. Statement 1 is true and Statement 2 is false.
• B. Statement 1 is false and Statement 2 is true.
• C. Both the statements 1 and 2 are true.
• D. Both the statements 1 and 2 are false.

Answer 1

The correct option is A

Statement 1 is true and Statement 2 is false.

Explanation for statement-1 :

As we know,

Angle in the same segment of a circle is equal.

So, statement 1 is correct.

Explanation for statement-2 :

We know that,

The angle subtended in a semicircle is a right angle, not a straight angle.

So, statement 2 is false.

Hence, Option (a) is correct.