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Question (21)

QN0015927

If one alternate angle is 131°, the acute angle formed in the figure is:

(A) 49°
(B) 59°
(C) 69°
(D) 39°

Correct Answer: A

Explanation:

180° − 131° = 49°.

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Question (22)

QN0015928

Which statement is true for parallel lines and a transversal?

(A) Alternate angles are equal
(B) Alternate angles are supplementary
(C) Alternate angles are complementary
(D) Alternate angles are always right angles

Correct Answer: A

Explanation:

Alternate angles are equal for parallel lines.

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Question (23)

QN0015929

If an alternate angle is 71°, the supplementary angle at the same intersection is:

(A) 109°
(B) 71°
(C) 119°
(D) 89°

Correct Answer: A

Explanation:

180° − 71° = 109°.

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Question (24)

QN0015930

Equal alternate angles are most useful in proving:

(A) Two circles are congruent
(B) Two lines are parallel
(C) A triangle is equilateral
(D) A rectangle is a square

Correct Answer: B

Explanation:

Equal alternate angles prove parallel lines.

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Question (25)

QN0015931

If alternate angles are 124° and 124°, the lines must be:

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

Correct Answer: A

Explanation:

Equal alternate angles imply parallel lines.

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Question (26)

QN0015932

Which real-life situation best models alternate angles?

(A) A transversal road crossing two parallel streets
(B) A football
(C) A circular plate
(D) A cube resting on a table

Correct Answer: A

Explanation:

The road acts as a transversal.

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Question (27)

QN0015933

If one alternate angle is 37°, the other alternate angle is:

(A) 143°
(B) 53°
(C) 37°
(D) 90°

Correct Answer: C

Explanation:

Alternate angles are equal.

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Question (28)

QN0015934

If alternate angles are equal and one angle is x°, the other angle is:

(A) (180 − x)°
(B) x°
(C) (90 − x)°
(D) 2x°

Correct Answer: B

Explanation:

Alternate angles are equal.

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Question (29)

QN0015935

A pair of alternate angles is measured as 88° and 88°. Which conclusion is correct?

(A) Lines are parallel
(B) Lines are perpendicular
(C) Lines intersect at right angles
(D) No conclusion can be drawn

Correct Answer: A

Explanation:

Equal alternate angles imply parallel lines.

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Question (30)

QN0015936

If one alternate angle is 143°, the corresponding acute angle is:

(A) 47°
(B) 37°
(C) 57°
(D) 67°

Correct Answer: A

Explanation:

180° − 143° = 47°.

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Question (21)

If one alternate angle is 131°, the acute angle formed in the figure is:

Explanation:

Link:

Question (22)

Which statement is true for parallel lines and a transversal?

Explanation:

Link:

Question (23)

If an alternate angle is 71°, the supplementary angle at the same intersection is:

Explanation:

Link:

Question (24)

Equal alternate angles are most useful in proving:

Explanation:

Link:

Question (25)

If alternate angles are 124° and 124°, the lines must be:

Explanation:

Link:

Question (26)

Which real-life situation best models alternate angles?

Explanation:

Link:

Question (27)

If one alternate angle is 37°, the other alternate angle is:

Explanation:

Link:

Question (28)

If alternate angles are equal and one angle is x°, the other angle is:

Explanation:

Link:

Question (29)

A pair of alternate angles is measured as 88° and 88°. Which conclusion is correct?

Explanation:

Link:

Question (30)

If one alternate angle is 143°, the corresponding acute angle is:

Explanation:

Link:

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