A circle is centered on point B. Points A, C and D lie on its circumference. If ZABC measures 46°, what does ZADC measure?

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!!

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