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Greeley [361]
3 years ago
7

Need help thaanlksss

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0

Answer:

Option (3). m(\widehat{ACB})=220

Step-by-step explanation:

Option (1).

Since measure of an inscribed angle = \frac{1}{2}(\text{measure of the intercepted arc})

m∠ABC = \frac{1}{2}m(\widehat{AC})

m(\widehat{AC}) = 2(m∠ABC)

           = 2(30°)

           = 60°

Therefore, this option is not true.

Option (2),

Since, m(\widehat{AB})+m(\widehat{BC})+m(\widehat{AC})=360

m(\widehat{AB})+160+60=360

m(arc AB) = 360 - 220

                = 140°

Therefore, this option is not correct.

Option (3),

m(\widehat{ACB})=m(\widehat{AC})+m(\widehat{BC})

               = 60° + 160°

               = 220°

Option (3) is the correct option.

Option (4),

m(\widehat{CBA})= 360-m(\widehat{AC})

               = 360° - 60°

               = 300°

Therefore, this option is not correct.

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