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Question (11)

QN0030003

When two lines intersect, the four angles formed are in the ratio 2:3:2:3. The largest angle is:

(A) 72°
(B) 108°
(C) 120°
(D) 144°

Correct Answer: B

Explanation:

Adjacent angles sum to 180°. Let one part = x. Then 2x + 3x = 180°, so x = 36°. Largest angle = 3x = 108°.

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Question (12)

QN0030004

If alternate interior angles are (2x + 8)° and (4x − 36)°, then the value of x is:

(A) 18
(B) 20
(C) 22
(D) 24

Correct Answer: C

Explanation:

Alternate interior angles are equal. Therefore, 2x + 8 = 4x − 36. Solving gives x = 22.

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Question (13)

QN0030005

A square sheet has opposite edges that are:

(A) Intersecting
(B) Perpendicular
(C) Parallel
(D) Coincident

Correct Answer: C

Explanation:

Opposite sides of a square are parallel to each other.

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Question (14)

QN0030006

A square sheet is folded horizontally three times. Using the pattern discussed in the chapter, the number of parallel horizontal lines visible will be:

(A) 7
(B) 8
(C) 9
(D) 10

Correct Answer: C

Explanation:

Number of lines = 2ⁿ + 1. For n = 3, lines = 2³ + 1 = 9.

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Question (15)

QN0030007

In a diagram, one angle of a linear pair is twice the other angle. The smaller angle is:

(A) 30°
(B) 45°
(C) 60°
(D) 90°

Correct Answer: C

Explanation:

Let smaller angle be x. Then x + 2x = 180°. Hence x = 60°.

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Question (16)

QN0030008

Two parallel lines are cut by a transversal. An exterior angle measures 132°. The alternate exterior angle measures:

(A) 48°
(B) 132°
(C) 68°
(D) 96°

Correct Answer: B

Explanation:

Alternate exterior angles are equal when the lines are parallel.

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Question (17)

QN0030009

If two corresponding angles are 7x° and (5x + 24)°, then x =

(A) 10
(B) 12
(C) 14
(D) 16

Correct Answer: B

Explanation:

Corresponding angles are equal. Thus, 7x = 5x + 24, giving x = 12.

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Question (18)

QN0030010

A transversal intersects two lines. One pair of interior angles on the same side adds up to 180°. What can be concluded?

(A) The lines are perpendicular
(B) The lines are parallel
(C) The transversal is perpendicular
(D) No conclusion is possible

Correct Answer: B

Explanation:

If same-side interior angles are supplementary, the two lines are parallel.

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Question (19)

QN0030011

One angle formed by intersecting lines is 44°. The reflex angle around the point corresponding to this region is:

(A) 136°
(B) 224°
(C) 316°
(D) 404°

Correct Answer: C

Explanation:

Reflex angle = 360° − 44° = 316°.

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Question (20)

QN0030012

Two parallel lines are cut by a transversal. One acute angle is (x + 18)° and one obtuse angle is (3x − 6)°. Find x.

(A) 42
(B) 48
(C) 54
(D) 60

Correct Answer: A

Explanation:

Acute and obtuse angles formed by a transversal with parallel lines are supplementary. So, (x + 18) + (3x − 6) = 180. Solving gives x = 42.

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Question (11)

When two lines intersect, the four angles formed are in the ratio 2:3:2:3. The largest angle is:

Explanation:

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Question (12)

If alternate interior angles are (2x + 8)° and (4x − 36)°, then the value of x is:

Explanation:

Link:

Question (13)

A square sheet has opposite edges that are:

Explanation:

Link:

Question (14)

A square sheet is folded horizontally three times. Using the pattern discussed in the chapter, the number of parallel horizontal lines visible will be:

Explanation:

Link:

Question (15)

In a diagram, one angle of a linear pair is twice the other angle. The smaller angle is:

Explanation:

Link:

Question (16)

Two parallel lines are cut by a transversal. An exterior angle measures 132°. The alternate exterior angle measures:

Explanation:

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Question (17)

If two corresponding angles are 7x° and (5x + 24)°, then x =

Explanation:

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Question (18)

A transversal intersects two lines. One pair of interior angles on the same side adds up to 180°. What can be concluded?

Explanation:

Link:

Question (19)

One angle formed by intersecting lines is 44°. The reflex angle around the point corresponding to this region is:

Explanation:

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Question (20)

Two parallel lines are cut by a transversal. One acute angle is (x + 18)° and one obtuse angle is (3x − 6)°. Find x.

Explanation:

Link:

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