Question

given:

• in circle a, ( mangle grw = 72.4^{circ})

use the interactive diagram to determine ( moverline{gw}).

Explanation:

Step1: Identify angle type

$\angle GRW$ is an inscribed angle over arc $\overset{\frown}{GW}$.

Step2: Apply inscribed angle theorem

Inscribed angle = $\frac{1}{2}$ measure of its intercepted arc. So $m\overset{\frown}{GW} = 2 \times m\angle GRW$.

Step3: Calculate arc measure

$m\overset{\frown}{GW} = 2 \times 72.4^\circ = 144.8^\circ$

Answer:

$144.8^\circ$