Question

A circle is centered on point B. Points A,C and D lie on its circumference. If ∠ABC measures 35 degrees what does ∠ADC measure

Answer 1

Answer:
`325^(\circ)`

Explanation:

Given

`\angle ABC=35^(\circ)`

A, C, and D lie on the circumference of the circle

from figure,

`\angle ABC+x=360^(\circ)\quad [\text{angle around a point is 360}]\\\Rightarrow 35^(\circ)+x=360^(\circ)\\\Rightarrow x=325^(\circ)`