Question

in the adjoining figure ABCD is a parallelogram if angle Dab is equal to 85 degree and Angle DBC is equal to 60 degree then calculate number one angle cdb number to angle a b d​

Answer 1

Answer:

∠CDB = 35° , ∠DBA = 35°

Step-by-step explanation:

Answer 2

$\angle ABD=\angle CDB=35^{\circ}$

Step-by-step explanation:

In parallelogram ABCD

AB=CD and AD=BC

AD is parallel to BC and side AB is parallel to CD

Angle DAB=85 degrees

Angle DBC=60 degrees

Angle DBC=Angle ADB=60 degree

Reason: Alternate interior angles are equal

In triangle ABD

$\angle ABD+\angle ADB+\angle DAB=180$degrees

Reason: Triangle angles sum property

$85+60+\angle ABD=180$

$145+\angle ABD=180$

$\angle ABD=180-145=35^{\circ}$

$\angle ABD=\angle CDB=35^{\circ}$

Reason: Alternate interior angles are equal.

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