Question

What is the relation between $\widehat{AB}$ and $\widehat{CD}$?

• A. $\widehat{AB}>\widehat{CD}$
• B. $\widehat{AB}=\widehat{CD}$
• C. $\widehat{AB}<\widehat{CD}$
• D. $\widehat{AB}=\frac{1}{2}\widehat{CD}$

Answer 1

The correct option is B

$\widehat{AB}=\widehat{CD}$

Measure of angle subtended at the centre by Arc AB = 45°
Measure of angle subtended at the centre by Arc CD = 45°
We know that equal arcs subtend equal angle at the centre.

$\Rightarrow \text{Arc AB = Arc CD}$