Question

In circle F, what is the measure of arc CB?

Answer 1

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