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

Two chords intersect inside a circle. One of the angles they form and its vertical angle intercept arcs of 70° and 110°. Find the measure of that angle.

  1. 180°
  2. 40°
  3. 90°
  4. 70°

Answer

C. 90°

Solution

The angle formed by two chords is half the sum of the intercepted arcs: 70°+110°/2=90°.

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