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IBPS Clerk Angles & Lines

Study Material — 3 PYQs (2018–2018) · Concept Notes · Shortcuts

IBPS Clerk Angles & Lines is a frequently tested subtopic — 3 previous year questions from 2018–2018 papers are included below with concept notes, key rules and shortcut tricks.

3 PYQs
2018–2018
13 Practice
MCQs
8 Key Points
to remember
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Previous Year Questions

IBPS Clerk Angles & Lines — Past Exam Questions

3 questions from actual IBPS Clerk papers · all shown free · click option to reveal solution

Exam Q 12018Previous Year Pattern

Two lines intersect each other. If one of the angles formed is 65°, what is the measure of the angle adjacent to it on a straight line?

Exam Q 22018Previous Year Pattern

A transversal intersects two parallel lines. If one of the corresponding angles is 72°, what is the measure of the other corresponding angle?

Exam Q 32018Previous Year Pattern

Three angles of a triangle are in the ratio 2:3:4. What is the measure of the largest angle?

Concept Notes

Angles & Lines— Rules & Concept

Core ConceptRead this first — the foundation of the topic
Key angle types include

Acute angles (less than 90°), Right angles (exactly 90°), Obtuse angles (90° to 180°), Straight angles (180°), Reflex angles (180° to 360°), and Complete angles (360°). Adjacent angles share a common vertex and side. Complementary angles add up to 90°. Supplementary angles add up to 180°. When parallel lines are cut by a transversal, several angle pairs are formed.

Corresponding angles are equal. Alternate interior angles are equal. Alternate exterior angles are equal. Co-interior angles are supplementary (add to 180°).

These properties solve most line-angle problems in SSC. Vertically opposite angles are always equal when two lines intersect. Linear pairs always add to 180°. When multiple angles meet at a point, they sum to 360°

Formulas to remember

Sum of interior angles of n-sided polygon = (n-2) × 180°. Each interior angle of regular polygon = (n-2) × 180° ÷ n. Each exterior angle of regular polygon = 360° ÷ n

SSC typically asks

Find missing angles using given relationships. Identify angle types in geometric figures. Calculate angles in polygons. Solve problems involving parallel lines and transversals.

Questions often combine angle properties with triangle or quadrilateral concepts.

ShortcutsUse these to save 30–60 seconds per question

For parallel line problems, remember CAIA rule - Corresponding, Alternate Interior, Alternate Exterior angles are Always equal. Co-interior angles Always add to 180°. This eliminates confusion during exams.

Worked ExampleSolve this step-by-step before moving on
1
Step 1

Co-interior angles are supplementary (add to 180°)

2
Step 2

Let the co-interior angle be x

3
Step 3

65° + x = 180°

4
Step 4

x = 180° - 65° = 115° Answer: 115° Another Shortcut: When solving polygon angle problems, use the quick formula: Interior angle = 180° - (360° ÷ n). This saves calculation time.

Exam TrapsCommon mistakes students make — avoid these

Students often confuse corresponding angles with co-interior angles. Remember - corresponding angles are EQUAL, co-interior angles are SUPPLEMENTARY. Also, many forget that exterior angles of any polygon always sum to 360°, regardless of the number of sides. Practice identifying angle relationships quickly.

Most SSC questions test basic properties rather than complex proofs. Focus on recognizing patterns and applying formulas accurately.

Key Points to Remember

  • Complementary angles add to 90°, supplementary angles add to 180°
  • Vertically opposite angles are always equal when two lines intersect
  • Corresponding and alternate angles are equal when parallel lines are cut by transversal
  • Co-interior angles are supplementary (add to 180°) in parallel line systems
  • Linear pair of angles always sums to 180°
  • Sum of interior angles of n-sided polygon = (n-2) × 180°
  • Each exterior angle of regular polygon = 360° ÷ n
  • All angles around a point sum to 360°

Exam-Specific Tips

  • Sum of all exterior angles of any polygon is always 360°
  • Each interior angle of regular hexagon is 120°
  • Each interior angle of regular octagon is 135°
  • Straight angle measures exactly 180°
  • Complete angle measures exactly 360°
  • Sum of interior angles of triangle is 180°
  • Sum of interior angles of quadrilateral is 360°
  • Each interior angle of square is 90°
Practice MCQs

Angles & Lines — Practice Questions

13graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

An exterior angle of a triangle is 110°. If the two non-adjacent interior angles are in the ratio 3:2, what is the measure of the larger non-adjacent interior angle?

Practice 2easy

If two angles form a linear pair and one angle is 28° more than the other, what is the measure of the smaller angle?

Practice 3easy

Two complementary angles are in the ratio 1:5. What is the measure of the smaller angle?

Practice 4medium

At a point, four angles are formed such that three of them are in the ratio 1:2:3. If the fourth angle is 60°, what is the measure of the largest of the first three angles?

Practice 5medium

A transversal intersects two parallel lines. If one of the alternate interior angles is 72°, what is the sum of the two co-interior angles on the same side of the transversal?

Practice 6medium

In a triangle, the exterior angle at one vertex is 128°. If the two non-adjacent interior angles are in the ratio 3:5, what is the measure of the smaller non-adjacent interior angle?

Practice 7medium

Two lines intersect such that one of the angles formed is 65°. What is the measure of the obtuse angle adjacent to this angle?

Practice 8medium

A straight line is divided into three angles in the ratio 2:3:4. What is the measure of the largest angle?

Practice 9hard

A line makes an angle of 35° with the positive x-axis. Another line is perpendicular to this line. A third line makes an angle of 110° with the positive x-axis. What is the acute angle between the second and third lines?

Practice 10hard

Two lines intersect such that one of the angles formed is 3 times the adjacent angle. If a third line is drawn parallel to one of the original lines, what is the measure of the angle that the third line makes with the transversal cutting both original lines?

Practice 11hard

Three lines intersect at a single point, forming six angles around that point. If the angles are in the ratio 2:3:4:2:3:4 (in order around the point), what is the measure of the largest angle?

Practice 12hard

Two parallel lines are cut by two different transversals. The first transversal makes an angle of 65° with the first parallel line. The second transversal makes an angle of 50° with the second parallel line. What is the acute angle between the two transversals?

Practice 13hard

In a geometric figure, two lines intersect forming four angles. The bisectors of two adjacent angles are drawn. What is the angle between these two bisectors?

60-Second Revision — Angles & Lines

  • Remember: CAIA rule for parallel lines - Corresponding, Alternate angles Equal, Co-interior Supplementary
  • Formula: Interior angles sum = (n-2) × 180° for n-sided polygon
  • Trap: Don't confuse corresponding angles (equal) with co-interior angles (supplementary)
  • Quick check: Exterior angles of any polygon always sum to 360°
  • Remember: Vertically opposite angles are always equal
  • Formula: Each exterior angle of regular polygon = 360° ÷ n
  • Key: Linear pairs and supplementary angles both add to 180°
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