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Question (31)

QN0016217

In a triangle, angles are 5x°, 4x°, and 3x°. The smallest angle is:

(A) 30°
(B) 45°
(C) 50°
(D) 60°

Correct Answer: B

Explanation:

12x = 180°, x = 15°, smallest angle = 45°.

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Question (32)

QN0016218

If two angles of a triangle are equal and each measures 72°, the third angle is:

(A) 26°
(B) 30°
(C) 36°
(D) 40°

Correct Answer: C

Explanation:

180° − 144° = 36°.

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Question (33)

QN0016219

Which angle pair cannot belong to the same triangle?

(A) 40°, 50°
(B) 90°, 89°
(C) 100°, 79°
(D) 120°, 70°

Correct Answer: D

Explanation:

120° + 70° = 190° > 180°.

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Question (34)

QN0016220

The angles of a triangle are in the ratio 4 : 5 : 9. The largest angle is:

(A) 70°
(B) 80°
(C) 90°
(D) 100°

Correct Answer: C

Explanation:

18x = 180°, x = 10°, largest angle = 90°.

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Question (35)

QN0016221

If one angle is three times another and the third angle is 80°, the smallest angle is:

(A) 20°
(B) 25°
(C) 30°
(D) 40°

Correct Answer: B

Explanation:

x + 3x + 80 = 180°.

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Question (36)

QN0016222

A triangle has angles 25°, x°, and 95°. Find x.

(A) 50°
(B) 55°
(C) 60°
(D) 65°

Correct Answer: C

Explanation:

180° − 120° = 60°.

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Question (37)

QN0016223

Which of the following statements is true?

(A) The angle sum of a triangle depends on side lengths.
(B) The angle sum of a triangle is always 180°.
(C) The angle sum of a triangle changes with shape.
(D) The angle sum of a triangle is always 360°.

Correct Answer: B

Explanation:

Angle Sum Property applies to every triangle.

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Question (38)

QN0016224

If the three angles of a triangle are equal, each angle measures:

(A) 45°
(B) 50°
(C) 60°
(D) 90°

Correct Answer: C

Explanation:

180° ÷ 3 = 60°.

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Question (39)

QN0016225

A triangle has angles 32°, 58°, and x°. The value of x is:

(A) 80°
(B) 90°
(C) 100°
(D) 110°

Correct Answer: B

Explanation:

180° − 90° = 90°.

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Question (40)

QN0016226

A designer draws a triangular signboard with two angles measuring 52° and 63°. The third angle is:

(A) 55°
(B) 60°
(C) 65°
(D) 75°

Correct Answer: C

Explanation:

180° − (52° + 63°) = 65°.

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Question (31)

In a triangle, angles are 5x°, 4x°, and 3x°. The smallest angle is:

Explanation:

Link:

Question (32)

If two angles of a triangle are equal and each measures 72°, the third angle is:

Explanation:

Link:

Question (33)

Which angle pair cannot belong to the same triangle?

Explanation:

Link:

Question (34)

The angles of a triangle are in the ratio 4 : 5 : 9. The largest angle is:

Explanation:

Link:

Question (35)

If one angle is three times another and the third angle is 80°, the smallest angle is:

Explanation:

Link:

Question (36)

A triangle has angles 25°, x°, and 95°. Find x.

Explanation:

Link:

Question (37)

Which of the following statements is true?

Explanation:

Link:

Question (38)

If the three angles of a triangle are equal, each angle measures:

Explanation:

Link:

Question (39)

A triangle has angles 32°, 58°, and x°. The value of x is:

Explanation:

Link:

Question (40)

A designer draws a triangular signboard with two angles measuring 52° and 63°. The third angle is:

Explanation:

Link:

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