in the given figure, ABCD is a parallelogram in which ∠BDA = 75 degree and ∠DBC =60 degree Calculate: ∠CDB.
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Answer:
45*
Step-by-step explanation:
Angle C =75*(opposite angle property)
Angle B =60*
Angle D = 180-(75*+60*)
= 180*- 135*
= 45*
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∠ CDB = 45°
Step-by-step explanation:
In parallelogram ABCD
Let us assume ∠ DBA as ''∠ 1''
∠ CBA + ∠ DAB= 180° (sum of adjacent angles is 180°)
(60° + ∠ 1) + 75° = 180°
∠ 1 + 135° = 180°
∠ 1 = 180° - 135°
∠ 1 = 45°
Now, let us assume angle CDB as ''∠ 2''
∠ 1 = ∠ 2 (Alternate interior angles)
So, ∠ 2 = 45°
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