Question

The measure of central angle is ${120}^o$. Find the measure of the arc it intercepts.

• A. ${60}^o$
• B. ${70}^o$
• C. ${50}^o$
• D. None of the above

Answer 1

The correct option is A ${60}^o$

$\angle PAO+\angle PBO+\angle AOB+\angle APB={180}^o{90}^o+{90}^o+\angle AOB+{120}^o={180}^o\angle AOB={60}^o$