Question 9
Write True or False and justify your answer :

If A, B, C and D are four points such that $∠ B A C = 45^{\circ}$ and $∠ B D C = 45^{\circ}$ , then A, B, C, D are concyclic.

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Solution

True

$S i n c e, ∠ B A C = 45^{\circ} a n d ∠ B D C = 45^{\circ}$

As we know that the angles in the same segment of a circle are equal.
Hence, A, B, C and D are concyclic.

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Similar questions

∠ B A C = 30^{\circ} a n d ∠ B D C = 60^{\circ}

∠ B A C = 45^{\circ} a n d ∠ B D C = 45^{\circ}

∠ B A C = 45^{o}

∠ B D C

Question 7
Write True or False and justify your answer :
ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°

∠ B A C = 30^{\circ} a n d ∠ B D C = 60^{\circ}

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