Chapter Exam

Chapter 6: Lines and Angles — Online MCQ Test

Q: What do we call two lines that intersect at exactly one point?

Answer: B. Intersecting lines — Lines that meet at one point are called intersecting lines. Parallel lines never meet.

Q: Which pair of angles is formed when two adjacent angles have a common arm and their non-common arms form a straight line?

Answer: C. Linear pair — A linear pair consists of two adjacent angles whose non-common arms form a straight line.

Q: If two angles are supplementary and one of them is 90°, what type of angles are they?

Answer: C. Both are right angles — Supplementary angles sum to 180°. If one angle is 90°, the other is also 90°, so both are right angles.

Q: Two adjacent angles are in the ratio 2:5 and form a linear pair. What is the measure of the smaller angle?

Answer: A. 36° — Let the angles be 2x and 5x. Since they form a linear pair, 2x + 5x = 180°, so x = 25° and the smaller angle is 50°? Wait, 2x = 50°.

Q: If two lines are parallel and cut by a transversal, which statement is always true?

Answer: C. Alternate exterior angles are equal — For parallel lines cut by a transversal, alternate exterior angles are equal. The other statements are not always true.

MATHS · CLASS 9th · Karnataka State Board

Practice Chapter 6: Lines and Angles with a free chapter-wise online MCQ test for Karnataka State Board CLASS 9th MATHS. This chapter covers: This chapter details basic definitions intersecting non-intersecting lines angle pairs linear pair axiom and properties of parallel lines.. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 6: Lines and Angles — Important Questions & Answers (FAQ)

Frequently asked questions from Karnataka State Board CLASS 9th MATHS — Chapter 6: Lines and Angles, with answers and explanations. These are sample questions; the exam has its own separate question set.

What do we call two lines that intersect at exactly one point?

A. Parallel lines
B. Intersecting lines ✓
C. Perpendicular lines
D. Coincident lines

Answer: B. Intersecting lines
Lines that meet at one point are called intersecting lines. Parallel lines never meet.

Which pair of angles is formed when two adjacent angles have a common arm and their non-common arms form a straight line?

A. Complementary angles
B. Vertically opposite angles
C. Linear pair ✓
D. Adjacent angles

Answer: C. Linear pair
A linear pair consists of two adjacent angles whose non-common arms form a straight line.

If two angles are supplementary and one of them is 90°, what type of angles are they?

A. Complementary angles
B. Right angles
C. Both are right angles ✓
D. Adjacent angles only

Answer: C. Both are right angles
Supplementary angles sum to 180°. If one angle is 90°, the other is also 90°, so both are right angles.

Two adjacent angles are in the ratio 2:5 and form a linear pair. What is the measure of the smaller angle?

A. 36° ✓
B. 50°
C. 60°
D. 72°

Answer: A. 36°
Let the angles be 2x and 5x. Since they form a linear pair, 2x + 5x = 180°, so x = 25° and the smaller angle is 50°? Wait, 2x = 50°.

If two lines are parallel and cut by a transversal, which statement is always true?

A. Corresponding angles are supplementary
B. Interior angles on the same side are equal
C. Alternate exterior angles are equal ✓
D. All angles formed are right angles

Answer: C. Alternate exterior angles are equal
For parallel lines cut by a transversal, alternate exterior angles are equal. The other statements are not always true.