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Course: High school math (India) > Unit 3

Lesson 10: Circles
Math
High school math (India)
Bridge (10th)
Circles
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Inscribed angles

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Problem

A circle is centered on point B. Points A, C and D lie on its circumference.
If ∠ABC measures 124∘, what does ∠ADC measure?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
∘
A circle centered at point B. Points A, D, and C all lie on the circle in a clockwise direction. Line segment A D is a diameter of the circle. Line segment C B is a radius of the circle. There is a chord connecting points C and D. The chord creates a triangle with segments C B and D B.