Question

given: in circle e, ( mwidehat{lg}=109.7^{circ} ) use the interactive diagram to determine ( mangle leg ).

Explanation:

Step1: Identify central angle property

The measure of a central angle equals its intercepted arc.

Step2: Match angle to arc

$\angle LEG$ intercepts arc $LG$, so $m\angle LEG = m\overset{\frown}{LG}$.

Step3: Substitute arc measure

$m\angle LEG = 109.7^\circ$

Answer:

$109.7^\circ$