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Two circles intersect at points A and B. If the angle ∠AOB is 60°, what is the m

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Question: Two circles intersect at points A and B. If the angle ∠AOB is 60°, what is the measure of the angle ∠APB where P is any point on the circumference of the circles?

Options:

  1. 30°
  2. 60°
  3. 90°
  4. 120°

Correct Answer: 30°

Solution:

Angle ∠APB = 1/2 ∠AOB = 1/2(60°) = 30°.

Two circles intersect at points A and B. If the angle ∠AOB is 60°, what is the m

Practice Questions

Q1
Two circles intersect at points A and B. If the angle ∠AOB is 60°, what is the measure of the angle ∠APB where P is any point on the circumference of the circles?
  1. 30°
  2. 60°
  3. 90°
  4. 120°

Questions & Step-by-Step Solutions

Two circles intersect at points A and B. If the angle ∠AOB is 60°, what is the measure of the angle ∠APB where P is any point on the circumference of the circles?
  • Inscribed Angle Theorem – The measure of an angle formed by two points on a circle is half the measure of the central angle that subtends the same arc.
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