Mathematics

Problem

Chord

AB

of a circle subtends angles

(3x+10)^{\circ}

and

(5x-50)^{\circ}

at two different points

C

and

D

on the same segment of the circle. Calculate: (i) the value of

x

, and (ii) the common measure of

\angle ACB

and

\angle ADB

. a. (i) Value of

x

b. (ii) Measure of the equal angles