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2 years ago

In the diagram of circle O, what is the measure of ? 27° 54° 108° 120°

Mathematics

2 answers:

vesna_86 [32]2 years ago

6 0

Answer:

Option (2).

Step-by-step explanation:

This question is incomplete; here is the complete question and find the figure attached.

In the diagram of a circle O, what is the measure of ∠ABC?

27°

54°

108°

120°

m(minor arc $\widehat {AC}$ ) = 126°

m(major arc $\widehat {AC}$ ) = 234°

By the intersecting tangents theorem,

If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.

m∠ABC = $\frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})]$

= $\frac{1}{2}(234-126)$

= 54°

Therefore, Option (2) will be the answer.

nika2105 [10]2 years ago

6 0

Answer:

Step-by-step explanation:

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