Question

ABCD is a parallelogram in which angle DAB = 65 degree and angle CBD = 50 degree. Find the measure of angle CDB and angle ADB

Answer 1

Answer:

ABCD Is a parallelogram

in Parallelogram opposite angles are equal

& sum of adjacent angle = 180°

∠DAB = 65°    => ∠DCB = 65°

∠CBD = 50°

∠CDB = ?

∠CDB + ∠CBD + ∠DCB = 180°  ( sum of angles of triangle)

=> ∠CDB +  50° +  65° = 180°

=>  ∠CDB =  65°

∠DAB = 65°    => ∠ADC= 180° - 65°

=> ∠ADC=  115°

∠ADC= ∠CDB + ∠ADB

=> 115° =  65° + ∠ADB

=> ∠ADB = 50°