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Question (21)

QN0016247

The exterior angle of a triangle is 145°. If one remote interior angle is 67°, the other is:

(A) 68°
(B) 78°
(C) 88°
(D) 98°

Correct Answer: B

Explanation:

145° − 67° = 78°.

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Question (22)

QN0016248

If the remote interior angles are equal and the exterior angle is 100°, each remote interior angle is:

(A) 40°
(B) 50°
(C) 60°
(D) 70°

Correct Answer: B

Explanation:

100° ÷ 2 = 50°.

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Question (23)

QN0016249

An interior angle measures 58°. What is its exterior angle?

(A) 112°
(B) 122°
(C) 132°
(D) 142°

Correct Answer: B

Explanation:

180° − 58° = 122°.

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Question (24)

QN0016250

The exterior angle at a vertex of a triangle is 118°. The adjacent interior angle is:

(A) 52°
(B) 62°
(C) 72°
(D) 82°

Correct Answer: B

Explanation:

180° − 118° = 62°.

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Question (25)

QN0016251

Which of the following exterior angles is possible if the remote interior angles are 41° and 63°?

(A) 94°
(B) 104°
(C) 114°
(D) 124°

Correct Answer: B

Explanation:

41° + 63° = 104°.

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Question (26)

QN0016252

If an exterior angle is 126° and one remote interior angle is twice the other, the smaller remote interior angle is:

(A) 32°
(B) 42°
(C) 52°
(D) 62°

Correct Answer: B

Explanation:

x + 2x = 126°, x = 42°.

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Question (27)

QN0016253

The difference between an exterior angle of 135° and its adjacent interior angle is:

(A) 45°
(B) 60°
(C) 90°
(D) 100°

Correct Answer: C

Explanation:

Adjacent interior angle = 45°, difference = 90°.

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Question (28)

QN0016254

If one remote interior angle is 28° and the exterior angle is 97°, the other remote interior angle is:

(A) 59°
(B) 69°
(C) 79°
(D) 89°

Correct Answer: B

Explanation:

97° − 28° = 69°.

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Question (29)

QN0016255

The exterior angle of a triangle is equal to 3 times one remote interior angle and the other remote interior angle is 40°. The larger remote interior angle is:

(A) 50°
(B) 60°
(C) 70°
(D) 80°

Correct Answer: B

Explanation:

Let angle = x. Then 3x = x + 40, so x = 20°, larger angle = 60°.

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Question (30)

QN0016256

If an interior angle is x° and its exterior angle is (2x)°, then x equals:

(A) 45°
(B) 60°
(C) 75°
(D) 90°

Correct Answer: B

Explanation:

x + 2x = 180°, x = 60°.

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Question (21)

The exterior angle of a triangle is 145°. If one remote interior angle is 67°, the other is:

Explanation:

Link:

Question (22)

If the remote interior angles are equal and the exterior angle is 100°, each remote interior angle is:

Explanation:

Link:

Question (23)

An interior angle measures 58°. What is its exterior angle?

Explanation:

Link:

Question (24)

The exterior angle at a vertex of a triangle is 118°. The adjacent interior angle is:

Explanation:

Link:

Question (25)

Which of the following exterior angles is possible if the remote interior angles are 41° and 63°?

Explanation:

Link:

Question (26)

If an exterior angle is 126° and one remote interior angle is twice the other, the smaller remote interior angle is:

Explanation:

Link:

Question (27)

The difference between an exterior angle of 135° and its adjacent interior angle is:

Explanation:

Link:

Question (28)

If one remote interior angle is 28° and the exterior angle is 97°, the other remote interior angle is:

Explanation:

Link:

Question (29)

The exterior angle of a triangle is equal to 3 times one remote interior angle and the other remote interior angle is 40°. The larger remote interior angle is:

Explanation:

Link:

Question (30)

If an interior angle is x° and its exterior angle is (2x)°, then x equals:

Explanation:

Link:

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