The importance of class 9 NCERT math’s chapter 6 exercise 6.3 in English is that it helps students understand the angle sum property of a triangle and its applications.
NCERT CLASS 9 maths chapter 6 lines and angles question no. 5
In Fig. 6.43, if PQ ⊥ PS, PQ || SR, ∠ SQR = 28° and ∠ QRT = 65°, then find the values of x and y.
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Given that: PQ⊥PS||SR, ∠SQR = 28° and ∠QRT = 65°
∠PQR = ∠QRT [∵ Alternate Angles]
⇒ ∠RQS + ∠PQS = 65°
⇒ 28° + x = 65°
⇒ x = 65° – 28° = 37°
In △PQS, ∠P + ∠PQS + ∠PSQ = 180°
⇒ 90° + 37° + y = 180°
⇒ 127° + y = 180°
⇒ y = 180° – 127° = 53°