Question

A
Р
(ii) In the figure, m(arc APC)=110° then find
the measure of ZABC
(a) 55°
(b) 110°
(c) 50°
(d) 60°
C С
B​

Answer 1

Given : m(arc APC) =110°

To Find :   measure of angle ABC​

Solution:

As figure is missing :

Considering few cases

P & B are points in same arc segments

then m(arc ABC)  =  m(arc APC)

=>  m(arc ABC)  =  110°

P & B are points in different arc segments

then m(arc ABC)  +  m(arc APC)  = 180°   ( opposite angles of cyclic quadrilateral )

m(arc ABC)  +  110°  = 180°

=>  m(arc ABC)  = 70°

P is at center and   B is at remaining circle

=>  m(arc ABC) = (1/2) m(arc ABPC)

=>  m(arc ABC) = (1/2)110°

=> m(arc ABC) = 55°

Learn More:

In the adjoining figure, O is the centre of acircle. Chord CD is parallel ...

brainly.in/question/13499168

the measure of an Arc of a circle is 90 degree and its length is 11 cm ...

brainly.in/question/7568732

Answer 2

Answer:

the anwer for this question is (A) 55