NCERT Solutions for Class 9 Maths Chapter 6: Lines and Angles
NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles are considered to be very useful when students are preparing for the CBSE Class 9 Maths exams. Here, we bring detailed answers to the questions of NCERT Class 9 Maths Chapter 6. Our subject matter experts who created these Oswal Publishers' NCERT Solutions for Class 9 Maths have collected these questions for students to revise from Chapter 6 of the NCERT Textbook. We have discussed the solution of the Maths class 9 NCERT Book which is followed in CBSE Schools. These NCERT Solutions Class 9 Maths Chapter 6 will rely on the latest update on the CBSE syllabus for 2026-27 and its guidelines. Students will get enough practice these Lines and Angles Class 9 Maths Questions and Answers, and it will also help them to score high marks in exams.
NCERT Solutions for Class 9 Mathematics Chapter 6 Free PDF Download
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Q. In the given figure, if lines PQ and RS intersect at a point T such that ∠PRT = 40°, ∠RPT = 95° and ∠TSQ = 75°. Find ∠SQT.
Ans. Given : ∠P = 95°, ∠R = 40° and ∠S = 75°
In DPRT,
∠P + ∠R + ∠PTR = 180°
⇒ ∠PTR = 180° – ∠P – ∠R
⇒ ∠PTR = 180° – 95° – 40°
⇒ ∠PTR = 45°
... ∠STQ = ∠PTR = 45°
(Vertically opposite angle)
In DSTQ,
∠Q + ∠S + ∠STQ = 180°
⇒ ∠SQT + 75° + 45° = 180°
⇒ ∠SQT = 180° – 120°
= 60°
∠SQT = 60°
Q. In the given figure, POQ is a line. Ray OR is perpendicular to PQ. OS is another ray lying between rays OP and OR. Prove that ∠ROS = 1/2
(∠QOS – ∠POS).
Q. If two lines are intersect, then the vertically opposite angles are equal.
Q. In the given figure, PQ ⊥ PS, PQ || SR, ∠SQR = 28° and ∠QRT = 65°, then find the value of x and y.
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