Question

A chord of a circle is equal to its radius Find the angles subtended by this chord at a point in major segment

Answer 1

if the length of the chord is equal to the radius of the circle then the triangle made by the chord with center is an equilateral circle so the angle subtended by the chord at the center is $60$ degrees

we know that the angle subtended by a chord at the center is twice the angle subtended by it at any other point on the major axis

therefore the angle subtended by it on the major axis is $60/2=30$ degrees