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Question (11)

QN0015837

In a transversal figure, ∠5 and ∠7 are:

(A) Adjacent angles
(B) Linear pair
(C) Vertically opposite angles
(D) Alternate angles

Correct Answer: C

Explanation:

They form a vertically opposite pair.

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Question (12)

QN0015838

If ∠5 = 48°, then ∠7 equals:

(A) 42°
(B) 48°
(C) 132°
(D) 90°

Correct Answer: B

Explanation:

Vertically opposite angles are equal.

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Question (13)

QN0015839

A transversal cuts two lines. If all eight angles were different, this would be:

(A) Possible
(B) Impossible
(C) True only for parallel lines
(D) True only for perpendicular lines

Correct Answer: B

Explanation:

Vertically opposite angles must be equal.

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Question (14)

QN0015840

Why can't all eight angles formed by a transversal be different?

(A) Linear pairs are equal
(B) Corresponding angles are equal always
(C) Vertically opposite angles are equal
(D) All angles are right angles

Correct Answer: C

Explanation:

Equal vertically opposite angles prevent all eight from being different.

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Question (15)

QN0015841

If ∠1 = 115°, then ∠2 equals:

(A) 65°
(B) 115°
(C) 75°
(D) 45°

Correct Answer: A

Explanation:

180° − 115° = 65°.

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Question (16)

QN0015842

Two parallel lines are intersected by a transversal. If one angle is 125°, how many of the eight angles are 125°?

(A) 1
(B) 2
(C) 3
(D) 4

Correct Answer: D

Explanation:

Four angles are equal to 125°.

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Question (17)

QN0015843

In the above situation, the remaining angles measure:

(A) 35°
(B) 45°
(C) 55°
(D) 65°

Correct Answer: C

Explanation:

180° − 125° = 55°.

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Question (18)

QN0015844

A transversal forms corresponding angles of 92° and 92°. What can be concluded?

(A) The lines are parallel
(B) The lines are perpendicular
(C) The lines intersect at right angles
(D) No conclusion is possible

Correct Answer: A

Explanation:

Equal corresponding angles imply parallel lines.

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Question (19)

QN0015845

If one angle formed by a transversal is 40°, its adjacent angle is:

(A) 50°
(B) 140°
(C) 40°
(D) 90°

Correct Answer: B

Explanation:

Linear pair angles sum to 180°.

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Question (20)

QN0015846

Which pair of angles are corresponding?

(A) ∠1 and ∠5
(B) ∠1 and ∠3
(C) ∠2 and ∠4
(D) ∠3 and ∠4

Correct Answer: A

Explanation:

∠1 and ∠5 occupy the same relative position.

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Question (11)

In a transversal figure, ∠5 and ∠7 are:

Explanation:

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Question (12)

If ∠5 = 48°, then ∠7 equals:

Explanation:

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Question (13)

A transversal cuts two lines. If all eight angles were different, this would be:

Explanation:

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Question (14)

Why can't all eight angles formed by a transversal be different?

Explanation:

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Question (15)

If ∠1 = 115°, then ∠2 equals:

Explanation:

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Question (16)

Two parallel lines are intersected by a transversal. If one angle is 125°, how many of the eight angles are 125°?

Explanation:

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Question (17)

In the above situation, the remaining angles measure:

Explanation:

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Question (18)

A transversal forms corresponding angles of 92° and 92°. What can be concluded?

Explanation:

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Question (19)

If one angle formed by a transversal is 40°, its adjacent angle is:

Explanation:

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Question (20)

Which pair of angles are corresponding?

Explanation:

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