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Question (1)

QN0029993

Two lines intersect such that one of the angles formed is 68°. What is the measure of its vertically opposite angle?

(A) 22°
(B) 68°
(C) 112°
(D) 180°

Correct Answer: B

Explanation:

Vertically opposite angles are always equal. Therefore, the angle is 68°.

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Question (2)

QN0029994

If two adjacent angles formed by intersecting lines are in a linear pair and one angle is 127°, then the other angle is:

(A) 53°
(B) 127°
(C) 73°
(D) 180°

Correct Answer: A

Explanation:

Angles in a linear pair add up to 180°. Therefore, the other angle = 180° − 127° = 53°.

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Question (3)

QN0029995

A transversal cuts two parallel lines. If one corresponding angle is 72°, the corresponding angle on the other line is:

(A) 108°
(B) 72°
(C) 36°
(D) 144°

Correct Answer: B

Explanation:

Corresponding angles are equal when a transversal intersects parallel lines. Hence, the angle is 72°.

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Question (4)

QN0029996

Two lines are cut by a transversal. A pair of corresponding angles measure 95° each. Which statement is correct?

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

Correct Answer: C

Explanation:

If corresponding angles are equal, then the two lines are parallel.

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Question (5)

QN0029997

In a figure, alternate interior angles are (3x + 10)° and (5x − 20)°. If the lines are parallel, then x =

(A) 10
(B) 12
(C) 15
(D) 18

Correct Answer: C

Explanation:

Alternate interior angles are equal. So, 3x + 10 = 5x − 20. Solving gives x = 15.

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Question (6)

QN0029998

Two parallel lines are cut by a transversal. One interior angle on the same side of the transversal is 118°. The other interior angle on the same side is:

(A) 62°
(B) 118°
(C) 72°
(D) 242°

Correct Answer: A

Explanation:

Interior angles on the same side of a transversal add up to 180°. Therefore, the angle is 180° − 118° = 62°.

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Question (7)

QN0029999

A line l is perpendicular to line m. Another line n is also perpendicular to m. Then:

(A) l intersects n
(B) l is parallel to n
(C) l is perpendicular to n
(D) Cannot be determined

Correct Answer: B

Explanation:

Two lines perpendicular to the same line are parallel to each other.

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Question (8)

QN0030000

If one angle formed by two intersecting lines is x° and its adjacent angle is (x + 40)°, then x =

(A) 70
(B) 80
(C) 90
(D) 100

Correct Answer: A

Explanation:

Adjacent angles form a linear pair. Therefore, x + (x + 40) = 180. Solving gives x = 70.

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Question (9)

QN0030001

A transversal cuts two parallel lines. One angle is (4y − 5)° and its corresponding angle is (3y + 15)°. Find y.

(A) 18
(B) 20
(C) 22
(D) 25

Correct Answer: B

Explanation:

Corresponding angles are equal. Thus, 4y − 5 = 3y + 15, giving y = 20.

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Question (10)

QN0030002

Which of the following is always true for parallel lines in a plane?

(A) They meet at one point
(B) They form right angles
(C) They remain the same distance apart
(D) They are of equal length

Correct Answer: C

Explanation:

Parallel lines never intersect and remain equidistant throughout.

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Question (1)

Two lines intersect such that one of the angles formed is 68°. What is the measure of its vertically opposite angle?

Explanation:

Link:

Question (2)

If two adjacent angles formed by intersecting lines are in a linear pair and one angle is 127°, then the other angle is:

Explanation:

Link:

Question (3)

A transversal cuts two parallel lines. If one corresponding angle is 72°, the corresponding angle on the other line is:

Explanation:

Link:

Question (4)

Two lines are cut by a transversal. A pair of corresponding angles measure 95° each. Which statement is correct?

Explanation:

Link:

Question (5)

In a figure, alternate interior angles are (3x + 10)° and (5x − 20)°. If the lines are parallel, then x =

Explanation:

Link:

Question (6)

Two parallel lines are cut by a transversal. One interior angle on the same side of the transversal is 118°. The other interior angle on the same side is:

Explanation:

Link:

Question (7)

A line l is perpendicular to line m. Another line n is also perpendicular to m. Then:

Explanation:

Link:

Question (8)

If one angle formed by two intersecting lines is x° and its adjacent angle is (x + 40)°, then x =

Explanation:

Link:

Question (9)

A transversal cuts two parallel lines. One angle is (4y − 5)° and its corresponding angle is (3y + 15)°. Find y.

Explanation:

Link:

Question (10)

Which of the following is always true for parallel lines in a plane?

Explanation:

Link:

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