Prove that the angle of the ellipse segment is an acute angle and the angle of the minor circle segment is an obtuse angle...

An obtuse angle is

An obtuse angle is

Angle in the same segment of a circle are equal.

Angle of 0^(@) is an acute angle.

Any angle subtended by a minor arc in the alternate segment is acute and any angle subtended by a major arc in the alternate segment is obtuse.

Theorem:-6Any angle subtended by minor arc in the alternate segment is acute and any angle subtended by major arc in the alternate segment is obtuse.

Theorem:-5(i) The degree measure of an arc or angle subtended by an arc at the centre is double the angle subtended by it at any point of alternate segment.(ii) Angle in the same segment of a circle are equal (iii) The angle in the semi circle is right angle.

Prove that the angle in a segment greater than a semi-circle is less than a right angle.

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segments joining the points of contact at the centre.