Mathematics
Pentagon ABCDE is inscribed in a circle with center O.
Statement (1): ∠AOB =
Statement (2): If pentagon is regular, ∠AOB =
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Constructions
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Answer
Given, pentagon ABCDE is inscribed in a circle with center O.
If a pentagon is regular then the sides subtends equal angles at the center.
If ABCDE is a regular pentagon, then ∠AOB = .
∴ Statement 1 is false, and statement 2 is true.
Hence, option 4 is the correct option.
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