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

Two secants drawn from an external point intercept arcs of 140° (far) and 40° (near) on a circle. Find the angle between the secants.

  1. 90°
  2. 100°
  3. 180°
  4. 50°

Answer

D. 50°

Solution

The angle outside is half the difference of the intercepted arcs: 140°-40°/2=50°.

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