Engineering Board Exam Reviewer · Circles: Arcs and Angles · medium

Two chords intersect inside a circle, forming an angle of 55°. If one of the intercepted arcs measures 70°, find the other intercepted arc.

  1. 40°
  2. 30°
  3. 45°
  4. 50°

Answer

A. 40°

Solution

The angle equals half the sum of the two intercepted arcs: 55°= 12(70°+x) x=40°.

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