Question

The radius of chords are equal .this chord intersect at a point on minor arc .find the measurement of the angle

Answer 1

Angle in Minor arc segment  by chord = 150°

Step-by-step explanation:

The radius and chord are equal

=> chord & radius will form an equilateral triangle

an equilateral triangle has all angles equal = 60°

=> Chord subtend an angle of 60° at center

Angle subtended by chord at center = 2 ( angle subtended by chord in same arc segment)

=> 60° = 2 (angle subtended by chord in same arc segment)

angle subtended by chord in same arc segment = 30°

This angle is in Major arc segment

Angle in Minor arc segment = 180° - 30° = 150°

Angle in Minor arc segment  by chord = 150°

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