Question

PROVE THAT THE ANGLE IN A SEGMENT GREATER THAN A SEMI-CIRCLE IS LESS THAN A RIGHT ANGLE.

Answer 1

diameter of the circle = AD
∠ACD = 90 ....semi circle is right angled
∠ADC.... is a acute angle
∠ABC = ∠ADC ....angle in a same segment are equal
so, 
∠ABC is an acute angle