Statement-1 (A): If A, B, C and D are four points such that B A C… - Vidyadip

MCQ

Statement-1 (A): If A, B, C and D are four points such that $\angle B A C=45^{\circ}$ and $\angle B D C=45^{\circ}$, then A, B, C, D are concyclic.
Statement-2 (R): ABCD is a cyclic quadrilateral such that $\angle A=85^{\circ}, \angle B=70^{\circ}$, $\angle C=95^{\circ}$ and $\angle D=110^{\circ}$

A
Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
✓
Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.
C
Statement-1 is True, Statement-2 is False.
D
Statement-1 is False, Statement-2 is True.

✓

Answer

Correct option: B.

Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.

(b)
Statement-1 is true, because angles in the same segment of a circle are equal. Statement-2 is also true, because $\angle A+\angle C=180^{\circ}$ and $\angle B+\angle D=180^{\circ}$.
Hence, option (b) is correct.

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