Question
Download Solution PDFIn the given figure, ABCD is a parallelogram in which ∠DCB = 85° and ∠ADB = 55° then, ∠ABD is equal to:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
∠DCB = 85°
∠ADB = 55°
Concept used:
In a parallelogram, the opposite angles are equal and the opposite sides are parallel
The sum of all the angles of a triangle is 180°
Calculations:
Opposite angles of the parallelogram
⇒ ∠DCB = ∠DAB
⇒ ∠DAB = 85°
Sum of angles of triangle = ∠ABD + ∠ADB + ∠DAB
⇒ ∠ABD + 55° + 85° = 180°
⇒ ∠ABD = 180° - 140°
⇒ ∠ABD = 40°
∴ The value of ∠ABD is 40°
Last updated on Apr 30, 2025
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