Question

in the
e figi
fg, LADE = 110, find LADC
and LABC

Answer 1

Step-by-step explanation:

First of all,the given quadrilateral is concyclic because all its 4 vertices A,B,C and D lie on the circle.

Given - angle ADE = 110°

angle ADC , angle ABC = ?

angle ADE + angle ADC = 180°[ Linear Pair ]

=> 110° + angle ADC = 180°

=> angle ADC = 180°-110° = 70°

Also it is property of concyclic quadrilateral,opposite angles are supplementary.

=> angle ADC + angle ABC = 180°

=> 70° + angle ABC = 180°

=> angle ABC = 180°-70°=110°