In circle F, what is the measure of arc CB?
1 answer:
Answer:
70° is the measure of arc CB
Step-by-step explanation:
In circle F
F is center of circle.
We need to find arc CB. It would be also same as central angle of CB at F (∠CFB)
∠CAB=35°
We can see ∠CAB and ∠CFB lie on same arc but ∠CAB on circle and ∠CFB at center.
If two angles subtended on same arc then the angle at the center is twice the angle at the lie on circle.
∴ ∠CFB = 2 ∠CAB
But ∠CAB = 35°
∠CFB=2 x 35° = 70°
Thus, 70° is the measure of arc CB
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