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given ⊙o below, the arcs $overset{\frown}{wx}$ and $overset{\frown}{yz}…

Question

given ⊙o below, the arcs $overset{\frown}{wx}$ and $overset{\frown}{yz}$ must be congruent.

Explanation:

Step1: Recall arc - congruence rule

In a circle, two arcs are congruent if and only if their central - angles are congruent.

Step2: Compare central angles

The central angle of arc $\overset{\frown}{WX}$ is $80^{\circ}$, and the central angle of arc $\overset{\frown}{YZ}$ is $35^{\circ}$. Since $80^{\circ}
eq35^{\circ}$, the arcs $\overset{\frown}{WX}$ and $\overset{\frown}{YZ}$ are not congruent.

Answer:

B. False