Question

in the figure m(arc APC) =110 then find the measure of angle ABC​

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 in 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 ...

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

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Answer 2

Step-by-step explanation:

55 is answer

l hope it will help you