Plse solve this...
Solution:
Given that, PQRS and LMNS are two parallelograms.
⇒ PQ || SR and LM || SN
Since two lines parallel to the same line are parallel to each other,
∴ PS || MN || QR
Now, opposite angles of a parallelogram are equal.
⇒ ∠QPS = ∠QRS = 35°
As the sum of co-interior angles is 180°. Therefore,
∠QRN + ∠MNR = 180°
⇒ 35° + ∠MNR = 180°
⇒ ∠MNR = 145°
If a ray stands on a line, the sum of adjacent angles formed is 180°.
⇒ ∠MNR + ∠MNS = 180°
⇒ 145° + ∠MNS = 180°
⇒ ∠MNS = 35°
In parallelogram LMNS,
∠SLM = ∠MNS = 35°
Hence, ∠MNR = 145° and ∠SLM = 35°.