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20 votes
20 votes
Can you please help me out with a question

User Jobsamuel
by
2.6k points

1 Answer

7 votes
7 votes

Answer:

m∠ABC = 40°

Step-by-step explanation:

Line BC divides the circle into two parts, so the measure of Arc BC is 180°. Then, the measure of arc AC is equal to:

Arc AC = Arc BC - Arc AB

Arc AC = 180° - 100°

Arc AC = 80°

Then, the measure of arc AC and the m∠ABC are related as:

m∠ABC = 1/2(Arc AC)

So, m∠ABC is equal to:

m∠ABC = 1/2(80)

m∠ABC = 40°

Therefore, the answer is 40°

User Searke
by
2.8k points
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