In the given figure, ABCD is a parallelogram in which ∠BAD = 750 and ∠DBC =600. Calculate: ∠CDB.
Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM
We know that the opposite angles of a parallelogram are equal.
∴ ∠ BCD= ∠BAD = 750
Now , in triangle BCD, we have
∠CDB + ∠DBC + ∠BCD = 1800
(as the sum of the angles of a triangle is 180o)
⇒ ∠CDB + 600 + 750 = 1800
⇒ ∠CDB + 1350 = 1800
⇒ ∠CDB = 1800 - 1350 = 450
So, ∠CDB = 450.
Answered by | 4th Jun, 2014, 03:23: PM
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