Step-by-step explanation:
given: B is the centered poin of the circle
points A,C,D lies on its circumference
measure angle ABC is 46⁰
<ADC is inscribed in the circle
<ABC is the central angle
to find: what is the measure of angle ADC?
solution:
inscribed angle therom states that an inscribe angle is half of a central angle that subtends the same arc
hence, <ADC = 1/2 × <ABC
<ADC= 1/2 × 46⁰
<ADC=1/2 ×46⁰
<ADC= 23⁰
HOPE IT HELPED!!
