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Question (21)

QN0015847

If ∠1 = 76°, then corresponding angle ∠5 is:

(A) 104°
(B) 76°
(C) 114°
(D) 90°

Correct Answer: B

Explanation:

Corresponding angles are equal.

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Question (22)

QN0015848

If corresponding angles are unequal, the lines are:

(A) Parallel
(B) Perpendicular
(C) Not parallel
(D) Coincident

Correct Answer: C

Explanation:

Parallel lines must have equal corresponding angles.

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Question (23)

QN0015849

Two lines are intersected by a transversal. One corresponding angle is 102°. Which value would prove the lines parallel?

(A) 78°
(B) 102°
(C) 88°
(D) 98°

Correct Answer: B

Explanation:

Equal corresponding angles prove parallel lines.

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Question (24)

QN0015850

If ∠3 = 58°, then its vertically opposite angle is:

(A) 122°
(B) 58°
(C) 32°
(D) 90°

Correct Answer: B

Explanation:

Vertically opposite angles are equal.

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Question (25)

QN0015851

A transversal crossing two lines creates how many pairs of vertically opposite angles?

(A) 2
(B) 3
(C) 4
(D) 8

Correct Answer: C

Explanation:

Two intersections create four pairs.

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Question (26)

QN0015852

If one angle is 145°, the angle adjacent to it is:

(A) 45°
(B) 55°
(C) 35°
(D) 145°

Correct Answer: C

Explanation:

180° − 145° = 35°.

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Question (27)

QN0015853

Which statement is always true?

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

Correct Answer: B

Explanation:

Vertically opposite angles are always equal.

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Question (28)

QN0015854

A transversal intersects two lines and produces exactly two distinct angle measures. One is 72°. The other is:

(A) 18°
(B) 72°
(C) 108°
(D) 90°

Correct Answer: C

Explanation:

Supplementary angle = 180° − 72° = 108°.

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Question (29)

QN0015855

If ∠1 = 135° and the lines are parallel, then ∠6 is:

(A) 45°
(B) 135°
(C) 90°
(D) 55°

Correct Answer: A

Explanation:

Corresponding and linear pair relationships give 45°.

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Question (30)

QN0015856

Which of the following is NOT a corresponding pair?

(A) ∠1 and ∠5
(B) ∠2 and ∠6
(C) ∠3 and ∠7
(D) ∠1 and ∠3

Correct Answer: D

Explanation:

∠1 and ∠3 are vertically opposite angles.

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Question (21)

If ∠1 = 76°, then corresponding angle ∠5 is:

Explanation:

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Question (22)

If corresponding angles are unequal, the lines are:

Explanation:

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Question (23)

Two lines are intersected by a transversal. One corresponding angle is 102°. Which value would prove the lines parallel?

Explanation:

Link:

Question (24)

If ∠3 = 58°, then its vertically opposite angle is:

Explanation:

Link:

Question (25)

A transversal crossing two lines creates how many pairs of vertically opposite angles?

Explanation:

Link:

Question (26)

If one angle is 145°, the angle adjacent to it is:

Explanation:

Link:

Question (27)

Which statement is always true?

Explanation:

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Question (28)

A transversal intersects two lines and produces exactly two distinct angle measures. One is 72°. The other is:

Explanation:

Link:

Question (29)

If ∠1 = 135° and the lines are parallel, then ∠6 is:

Explanation:

Link:

Question (30)

Which of the following is NOT a corresponding pair?

Explanation:

Link:

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