In parallelogram ABCD of the given angle DAB =60•and angle DBC =80•Find angle ABD
Answers
Answered by
19
Answer:
The angle ABD = 40°.
Given quadrilateral ABCD , ∠DAB = 60° and ∠DBC = 80°.
Now we have to find the angle of ABD.
In triangle ABD and triangle CBD,
AD || BC (opposite angles of the parallelogram are parallel)
∠ACB = ∠CBD (Alternate angles)
∴ ∠ACB = 80°.
Now, in ΔDAB,
∠A + ∠ADB +∠ABD = 180° (Sum of all angles of a triangle)
60° + 80° + ∠ABD = 180°
∠ABD = 180° - (60° + 80°)
∠ABD = 180° - (140°) = 40°
Therefore, ∠ABD = 40°
Step-by-step explanation:
Answered by
2
HEY MATE HERE IS YOUR ANSWER
OPEN THIS PHOTO TO PREVIEW THE SOLUTION PLEASE MARK ME BRANILEST
Attachments:
Similar questions