What is the measure of ABC

Mathematics

2 answers:

storchak [24]2 years ago

8 0

Heyo, I believe the answer is 44 since we're talking about inscribed angles which is 1/2 of the arc length so 88/22=44

lubasha [3.4K]2 years ago

5 0

Answer:

C. $44^{\circ}$

Step-by-step explanation:

We have been given am image of a circle. We are asked to find the measure of angle ABC.

We can see that angle ABC is an inscribed angle for our given angle. Angle ABC is an inscribed angle of arc AC.

We know that measure of an inscribed angle is half the measure of intercepted arc.

$m\angle ABC=\frac{1}{2}(\text{Measure of arc AC})$

$m\angle ABC=\frac{1}{2}(88^{\circ})$

$m\angle ABC=44^{\circ}$

Therefore, measure of angle ABC is 44 degrees and option C is the correct choice.

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