Question

In the given figure, AB is the diameter of the circle. AC is equal to BC. Find the value of $\angle ABC$.

• A. 30°
• B. 45°
• C. 60°
• D. 90°

Answer 1

The correct option is B

45°

An angle formed by the diameter of a circle at its circumference is ${90}^{\circ }$.
Hence the value of $x$ is ${90}^{\circ }$.

In $△ABC$,
Since AC=BC
$\angle BAC$ = $\angle ABC$
$\therefore \angle ABC=[{180}^{\circ }-{90}^{\circ }]/2={90}^{\circ }/2={45}^{\circ }$