Question

AC⌢ =84 ∘ , find m∠ADC.

Answer 1

The measure of minor arc is 84 degree

The expression for the an angle inscribed in a circle, then the measurement of the angle is equal to the half of the measure of its intercepted arc.

`\text{Angle}=(1)/(2)m(arc)`

here we have, arc length = 84 degree

`\begin{gathered} m\angle ADC=(1)/(2)(mAC) \\ m\angle ADC=(1)/(2)*84 \\ m\angle ADC=42^o \end{gathered}`

Angle = 42 degree