Question 3. In Fig. 6.15, ? PQR = ? PRQ, then prove that ? PQS = ? PRT. Chapter 6: Lines and Angles Maths Class 9 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 3. In Fig. 6.15, ∠ PQR = ∠ PRQ, then prove that ∠ PQS = ∠ PRT. is solved by our expert teachers. You can get ncert solutions and notes for class 9 chapter 6 absolutely free. NCERT Solutions for class 9 Maths Chapter 6: Lines and Angles is very essencial for getting good marks in CBSE Board examinations
Question 3. In Fig. 6.15, ∠ PQR = ∠ PRQ, then prove that
∠ PQS = ∠ PRT.
Solution:
ST is a straight line and sum of angle in linear pair always equal to 180
∠PQS + ∠PQR = 180° … (1)
And
∠PRT + ∠PRQ = 180° … (2)
From equation (1) and (2).we get:
∠PQS + ∠PQR = ∠PRT + ∠PRQ … (3)
But given that ∠PQR = ∠PRQ
Plug the value we get
∠PQS + ∠PRQ =∠PRT + ∠PRQ
∠PQS = ∠PRT + ∠PRQ - ∠PRQ
∠PQS = ∠PRT
Hence proved
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