Question

If A,B,C and D are concyclic points and $\angle BAC={45}^o$. Find the value of $\angle BDC$

• A. ${45}^o$
• B. ${60}^o$
• C. ${75}^o$
• D. ${90}^o$

Answer 1

The correct option is A ${45}^o$

$\angle BAC=\angle BDC$.....(1) (Angle inscribed in the same segment are same)
$\angle BAC={45}^o$....(2) (given)
Hence, from (1) and (2), we get
$\angle BDC={45}^o$