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Question (31)

QN0016257

A triangle has remote interior angles 52° and 77°. The exterior angle is:

(A) 119°
(B) 129°
(C) 139°
(D) 149°

Correct Answer: B

Explanation:

52° + 77° = 129°.

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Question (32)

QN0016258

If the exterior angle is 154° and one remote interior angle is 79°, the other remote interior angle is:

(A) 65°
(B) 75°
(C) 85°
(D) 95°

Correct Answer: B

Explanation:

154° − 79° = 75°.

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Question (33)

QN0016259

Which pair cannot be remote interior angles of a triangle having an exterior angle of 100°?

(A) 40°, 60°
(B) 55°, 45°
(C) 70°, 40°
(D) 35°, 65°

Correct Answer: C

Explanation:

70° + 40° = 110°, not 100°.

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Question (34)

QN0016260

An exterior angle is 15° greater than its adjacent interior angle. The exterior angle is:

(A) 82.5°
(B) 92.5°
(C) 97.5°
(D) 102.5°

Correct Answer: C

Explanation:

Let interior angle = x. Then x + (x + 15) = 180°.

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Question (35)

QN0016261

If the exterior angle is 121° and the two remote interior angles are in the ratio 5 : 6, the larger remote interior angle is:

(A) 55°
(B) 60°
(C) 66°
(D) 72°

Correct Answer: C

Explanation:

5x + 6x = 121°, x = 11°.

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Question (36)

QN0016262

An exterior angle of a triangle is 109°. If one remote interior angle is 47°, the other remote interior angle is:

(A) 52°
(B) 62°
(C) 72°
(D) 82°

Correct Answer: B

Explanation:

109° − 47° = 62°.

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Question (37)

QN0016263

A road sign is triangular. Two interior angles opposite an exterior angle are 48° and 71°. The exterior angle is:

(A) 109°
(B) 119°
(C) 129°
(D) 139°

Correct Answer: B

Explanation:

48° + 71° = 119°.

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Question (38)

QN0016264

If the adjacent interior angle of a triangle is 83°, the corresponding exterior angle is:

(A) 87°
(B) 97°
(C) 107°
(D) 117°

Correct Answer: B

Explanation:

180° − 83° = 97°.

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Question (39)

QN0016265

The remote interior angles of a triangle are 64° and 39°. The exterior angle is:

(A) 93°
(B) 103°
(C) 113°
(D) 123°

Correct Answer: B

Explanation:

64° + 39° = 103°.

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Question (40)

QN0016266

An exterior angle of a triangle measures 150°. If the two remote interior angles are equal, each remote interior angle is:

(A) 65°
(B) 70°
(C) 75°
(D) 80°

Correct Answer: C

Explanation:

150° ÷ 2 = 75°.

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Question (31)

A triangle has remote interior angles 52° and 77°. The exterior angle is:

Explanation:

Link:

Question (32)

If the exterior angle is 154° and one remote interior angle is 79°, the other remote interior angle is:

Explanation:

Link:

Question (33)

Which pair cannot be remote interior angles of a triangle having an exterior angle of 100°?

Explanation:

Link:

Question (34)

An exterior angle is 15° greater than its adjacent interior angle. The exterior angle is:

Explanation:

Link:

Question (35)

If the exterior angle is 121° and the two remote interior angles are in the ratio 5 : 6, the larger remote interior angle is:

Explanation:

Link:

Question (36)

An exterior angle of a triangle is 109°. If one remote interior angle is 47°, the other remote interior angle is:

Explanation:

Link:

Question (37)

A road sign is triangular. Two interior angles opposite an exterior angle are 48° and 71°. The exterior angle is:

Explanation:

Link:

Question (38)

If the adjacent interior angle of a triangle is 83°, the corresponding exterior angle is:

Explanation:

Link:

Question (39)

The remote interior angles of a triangle are 64° and 39°. The exterior angle is:

Explanation:

Link:

Question (40)

An exterior angle of a triangle measures 150°. If the two remote interior angles are equal, each remote interior angle is:

Explanation:

Link:

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