Lines and Angles — Class 9 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 9 Mathematics chapter "Lines and Angles" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 9 Mathematics chapter "Lines and Angles" — 8 important questions with detailed answers for CBSE board exam…

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Key Questions Covered:

  1. If a transversal intersects two lines and makes angles of 65° and 115° on the…
  2. Two lines intersect. If one angle formed is 48°, find all four angles.
  3. In triangle ABC, if ∠A = 60°, ∠B = 70°, find ∠C and verify that the sum equal…
  4. + 5 more questions in the full chapter

Solutions Summary:

Question Status
If a transversal intersects two lines and makes angles of… ✓ Solved
Two lines intersect. If one angle formed is 48°, find all… ✓ Solved
In triangle ABC, if ∠A = 60°, ∠B = 70°, find ∠C and verif… ✓ Solved

Showing 3 of 8 questions

Q1: If a transversal intersects two lines and makes angles of 65° and 115° on the same side of the transversal, determine if the lines are parallel.

Given: Transversal intersects two lines Angles on the same side of transversal = 65° and 115° Determine: Are the lines parallel? Step 1: Recall the co-interior angles property Co-interior angles (also called consecutive interior angles or allied angles): - Located on the same side of the transversa...

Q2: Two lines intersect. If one angle formed is 48°, find all four angles.

Given: Two lines intersect One angle = 48° Find: All four angles Step 1: Understand vertical angles When two lines intersect, they form four angles. Vertical angles (opposite angles) are equal. Step 2: Identify the angles Let's label the angles as ∠1, ∠2, ∠3, ∠4 going around. Given: ∠1 = 48° Step...

Q3: In triangle ABC, if ∠A = 60°, ∠B = 70°, find ∠C and verify that the sum equals 180°.

Given: Triangle ABC with ∠A = 60°, ∠B = 70° Find: ∠C Step 1: Use the angle sum property of a triangle The sum of all interior angles in a triangle = 180° ∠A + ∠B + ∠C = 180° Step 2: Substitute known values 60° + 70° + ∠C = 180° 130° + ∠C = 180° ∠C = 180° - 130° ∠C = 50° Step 3: Verify the sum ∠A ...

Showing 3 of 8 questions. Visit the full page for complete solutions.