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IBPS RRB PO Angles & Lines

Study Material — 3 PYQs (2019–2019) · Concept Notes · Shortcuts

IBPS RRB PO Angles & Lines is a frequently tested subtopic — 3 previous year questions from 2019–2019 papers are included below with concept notes, key rules and shortcut tricks.

3 PYQs
2019–2019
12 Practice
MCQs
8 Key Points
to remember
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Previous Year Questions

IBPS RRB PO Angles & Lines — Past Exam Questions

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

Exam Q 12019Previous Year Pattern

In a triangle, one angle measures 48° and another measures 67°. What is the measure of the third angle?

Exam Q 22019Previous Year Pattern

A transversal crosses two parallel lines. If one of the corresponding angles is 72°, what is the measure of the co-interior angle on the same side of the transversal?

Exam Q 32019Previous 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?

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

12graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

A straight angle is divided into two angles in the ratio 2:7. What is the measure of the smaller angle?

Practice 2easy

Two angles form a linear pair. If one angle is 3 times the other, what is the measure of the larger angle?

Practice 3easy

If two vertically opposite angles are formed by intersecting lines, and one angle is (5x − 10)°, while the other is (3x + 30)°, what is the value of x?

Practice 4medium

Two lines intersect such that one of the angles formed is 65°. If a third line is drawn parallel to one of the original lines, what is the angle between the third line and the second original line (corresponding angle)?

Practice 5medium

Two lines intersect at a point. One angle formed is (4x − 10)°. The angle adjacent to it is (2x + 40)°. What is the value of x?

Practice 6medium

In a triangle, the exterior angle at one vertex is 135°. The two non-adjacent interior angles are in the ratio 4:5. What is the difference between these two non-adjacent interior angles?

Practice 7medium

A transversal intersects two lines. The co-interior angles (same-side interior angles) are (2x + 10)° and (3x − 20)°. If the lines are parallel, what is the measure of the larger co-interior angle?

Practice 8medium

In a triangle, one exterior angle is 120°. 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 9hard

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

Practice 10hard

A transversal cuts two parallel lines. The difference between an interior angle on one side of the transversal and its corresponding co-interior angle is 48°. What is the measure of the larger of these two angles?

Practice 11hard

A transversal intersects two parallel lines. One of the alternate interior angles is (5x - 12)° and the other is (3x + 28)°. If a third line is drawn such that it bisects the angle (5x - 12)°, what is the measure of each of the two angles formed by this bisector?

Practice 12hard

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, given that this angle corresponds to the smaller of the two original angles?

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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