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Question
In the given figure, l || m || n. ∠QPS = 35° and ∠QRT = 55°. Find ∠PQR.
Solution
We have,
l || m and PQ is a transversal
∴ ∠SPQ = ∠PQU .....[Alternate interior angles]
⇒ ∠PQU = 35° ......(i)
Also, m || n and QR is a transversal.
∴ ∠QRT = ∠RQU ......[Alternate interior angles]
⇒ ∠RQU = 35° ......(ii)
Now, ∠PQR = ∠PQU + ∠UQR
= 35° + 55° ......[Using (i) and (ii)]
= 90°
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