uteta15p2 q104
0. In the given figure, both ABCD and PQRS are the parallelograms. The value of θ will be
- Option : A
- Explanation : (A) From the figure, AD ∥ BC
So, ∠ADC = ∠BCR = 1200 [corresponding angles]
∴ ∠BCS = 1800 - 1200 = 600
Similarly, SP ∥ RQ
∠RQP = ∠SPB = 700 [corresponding angles]
Now, DC ∥ AP and SP is a transversal
∴ ∠RSP = 700 [alternate angles]
In △OSC,
∠OSC + ∠SCO + ∠COS = 1800
⇒ 700 + 600 + ∠COS = 1800
⇒ ∠COS = θ = 500
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