Question

In given figure O is the centre of the circle angle CBE = 25 and angle DEA = 60, then find the measure of angle ADB.

Answer 1

Given : O is the centre of the circle ∠CBE = 25° and ∠DEA = 60°,

To find : the measure of ∠ADB.

Solution:

∠CBE = ∠CBD   as E lies on BD

∠CBD = ∠CAD   Angle by same chord/arc CD in same arc segment

=> ∠CAD  = 25°

∠EAD = ∠CAD   as E lies on CA

=> ∠EAD =  25°

∠EAD  + ∠ADE + ∠DEA= 180°  Sum of angles of Triangle

=>   25° + ∠ADE + 60°= 180°  

=>  ∠ADE  = 95°

∠ADB = ∠ADE

=> ∠ADB = 95°

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