In given figure, triangle BDE and triangle BAC are isosceles triangles and AE=DC. What can you say about angle ADB and angle CEB? Plz experts answer quickly as is my exam

Question

In given figure, triangle BDE and triangle BAC are isosceles
triangles and AE=DC What can you say about angle ADB and angle CEB?
Plz experts answer quickly as is my exam

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

AE=DC    GivenSubtracting DE from both sidesAE-DE=DC-DEAD=CEIn △ADB and △CEBAD=CE           Proved Above AB=CB            Equal sides of isoscelles triangle BACBD=BE            Equal sides of isoscelles triangle BDEBy SSS congruency criterion△ADB ≅ △CEB∠ADB=∠CEB               By CPCT
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