Lines and Angles Class 7 Worksheet — Free PDF Download with Answers

Geometry is different from every other maths topic. You cannot learn it only by reading. You have to see the diagrams, draw them yourself and mark the angles in your own hand. Every Class 7 geometry teacher I know keeps a stack of printed worksheets in a drawer, because nothing else teaches angle properties as fast as a student drawing and labelling on paper.

The problem with learning lines and angles purely on an app is that the student never develops a sense of proportion. They do not feel how wide a $60$ degree angle is compared to a $120$ degree angle. On paper, with a protractor in one hand and a pencil in the other, that sense of proportion builds up quickly.

Worksheets also teach students to annotate diagrams. In exams, half the marks for a geometry question come from clear marking — showing that two lines are parallel with arrows, marking right angles with a square, writing angle values next to the letters. Students who practise on paper develop this habit naturally.

Another thing worksheets do well is force the student to try multiple diagrams. If they get a question wrong, they draw it again. The redrawing is where the understanding sinks in. An app usually skips this step entirely.

Finally, there is the quiet nature of paper. Geometry needs concentration. Sitting with a printed sheet at a desk, with no notifications, gives a student the headspace to actually think about what the question is asking.

Every topic in the Class 7 Lines and Angles chapter is included.

Sub topics:

* Types of angles (acute, obtuse, right, straight, reflex)
* Pairs of angles (complementary, supplementary, adjacent, linear pair, vertically opposite)
* Intersecting and parallel lines
* Transversal and the angles it makes with parallel lines
* Corresponding, alternate interior, alternate exterior, and co interior angles
* Angle sum properties

Level breakdown:

Total 60 questions. Types include MCQ, fill in the blanks, label the diagram, find the missing angle and explanation questions. Full answer key is provided.

Revise these basics first.

* Acute angle — Less than $90\degree$.
* Right angle — Exactly $90\degree$.
* Obtuse angle — Between $90\degree$ and $180\degree$.
* Straight angle — Exactly $180\degree$.
* Reflex angle — Between $180\degree$ and $360\degree$.
* Complementary angles — Two angles that add to $90\degree$.
* Supplementary angles — Two angles that add to $180\degree$.
* Linear pair — Two adjacent angles whose sum is $180\degree$ (formed on a straight line).
* Vertically opposite angles — Angles opposite each other when two lines cross. They are equal.
* Transversal rules for parallel lines
* Corresponding angles are equal.
* Alternate interior angles are equal.
* Co interior (same side interior) angles are supplementary.

Quick tip: When you see two parallel lines cut by a transversal, mark the four top angles and four bottom angles. Many questions become obvious once the diagram is labelled fully.

Level 1 — Easy

1. If one angle of a complementary pair is $35\degree$, find the other.
Solution: $90 - 35 = 55\degree$.

2. The supplement of $120\degree$ is ___.
Solution: $180 - 120 = 60\degree$.

3. Two lines intersect. One of the four angles is $50\degree$. Find the vertically opposite angle.
Solution: Vertically opposite angles are equal, so the answer is $50\degree$.

Level 2 — Medium

1. Two parallel lines are cut by a transversal. If one corresponding angle is $75\degree$, find its pair.
Solution: Corresponding angles are equal, so the pair is $75\degree$.

2. An angle is $30\degree$ more than its complement. Find the angle.
Solution: Let the angle be $x$. Its complement is $90 - x$. Given $x = (90 - x) + 30$, so $2x = 120$ and $x = 60\degree$.

3. In a linear pair, one angle is twice the other. Find both angles.
Solution: Let one angle be $x$. Other is $2x$. $x + 2x = 180$, so $3x = 180$ and $x = 60\degree$. Angles are $60\degree$ and $120\degree$.

Level 3 — Hard

1. Two parallel lines are cut by a transversal. The co interior angles are in the ratio $2 : 3$. Find both angles.
Solution: Let them be $2x$ and $3x$. Sum is $180\degree$, so $5x = 180$ and $x = 36$. Angles are $72\degree$ and $108\degree$.

2. Two angles are supplementary. One is $20\degree$ more than three times the other. Find both.
Solution: Let the smaller be $x$. Other is $3x + 20$. Sum is $180\degree$, so $x + 3x + 20 = 180$. Then $4x = 160$ and $x = 40$. Angles are $40\degree$ and $140\degree$.

3. In the diagram, line $\ell$ is parallel to line $m$. A transversal cuts both lines. The alternate interior angles are $(3x + 10)\degree$ and $(5x - 30)\degree$. Find $x$.
Solution: Alternate interior angles are equal. $3x + 10 = 5x - 30$, so $40 = 2x$ and $x = 20$.

1. Print — Keep a sharpened pencil, ruler and protractor nearby.
2. Warm up — Sketch five random angles and label them as acute, right or obtuse.
3. Time yourself — 15 minutes for Level 1, 25 for Level 2, 30 for Level 3.
4. Check answers — Use the answer key.
5. Revise mistakes — For every wrong answer, redraw the figure and solve again.
6. Try again — Retry wrong questions next day.

Daily plan: 20 minutes per day for two weeks.

Weekly revision: On Saturdays, draw one diagram from memory (two parallel lines and a transversal) and label all eight angles with a given value of one angle.

1. Confusing alternate with corresponding — Alternate interior angles are on opposite sides of the transversal. Corresponding angles are on the same side. Students often mix these up.

2. Forgetting that co interior add to 180 — Students sometimes think co interior are equal. They are not. They sum to $180\degree$.

3. Sign errors in algebra — When the problem gives angles as $(3x + 5)$ and $(2x - 10)$, a simple sign error ruins the answer.

4. Not marking the diagram — Students try to solve everything in their head and end up confused. Mark each angle you find directly on the diagram.

5. Assuming the diagram is drawn to scale — Always use the given numbers, not what looks right in the picture.

6. Ignoring the word adjacent — Adjacent angles share a common arm. If two angles are not adjacent, you cannot assume their sum has any special meaning.

CBSE (NCERT)
Lines and Angles is Chapter 5 of NCERT Class 7 maths. Weightage is around 10 to 12 marks. Questions ask students to identify angle pairs and find unknown angles using properties.

ICSE (Selina / ML Aggarwal)
ICSE covers lines and angles in depth and expects students to write reasons for every step. Weightage is around 12 to 15 marks. Questions often involve proof style explanations.

IB MYP
IB MYP handles angle relationships as part of the geometry strand. Students are expected to investigate and justify why certain angle pairs are equal or supplementary, rather than just memorising the rules.

Download the free Class 7 Lines and Angles worksheet:

* Parallel and Intersecting Lines CBSE Worksheet
* Lines and Angles ICSE Worksheet
* Angle Relationships IB Worksheet

Online practice:

* Online — CBSE
* Online — ICSE

* AI Maths Solver — Photograph any geometry problem for a step by step solution.
* Spark Coach — AI tutor that helps with hints.
* Class 7 Maths Complete Guide
* All Worksheets Hub
* Class 7 Formulas

Week 1: Angle basics

* Day 1: Revise definitions and draw each angle type.
* Day 2: Level 1 questions 1 to 10.
* Day 3: Level 1 questions 11 to 20.
* Day 4: Level 2 angle pair questions.
* Day 5: Level 2 parallel line questions.
* Day 6: Redo all wrong answers.
* Day 7: Rest.

Week 2: Application and proof

* Day 8: Level 3 questions 1 to 10.
* Day 9: Level 3 questions 11 to 20.
* Day 10: Redo wrong Level 3 answers.
* Day 11: Draw five of your own diagrams and label all angles.
* Day 12: Mixed quiz.
* Day 13: Mock test (45 minutes).
* Day 14: Review.

* Class 7 Triangles Worksheet
* Class 7 Congruence Worksheet
* Class 7 Symmetry Worksheet
* Class 7 Visualising Solid Shapes Worksheet
* Class 7 Maths Complete Guide