Question

$A,B$ and $C$ are three points on a circle such that the points make triangles and the $\angle B,\angle C$ are ${90}^o$ and ${45}^o$, respectively $\angle A$

• A. ${45}^o$
• B. ${55}^o$
• C. ${100}^o$
• D. $noneofthese$

Answer 1

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

The points make triangle.

So, The sum of all angles is $180$

$90+45+\angle A={180}^{\circ }\angle A=180-135\angle A={45}^{\circ }$