Question

A circle is centered on point B. Points A, C and D lie on its circumference.

If ZABC measures 46°, what does ZADC measure?

Answer 1

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!!