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Question (11)

QN0018730

If the angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6, the largest angle is:

(A) 108°
(B) .
(C) 126°
(D) 144°

Correct Answer: D

Explanation:

One part = 20°, largest angle = 120°? Correction: 6×20=120°. Answer should be (b).

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Question (12)

QN0018731

The four angles of a quadrilateral are equal. Each angle measures:

(A) 45°
(B) 60°
(C) 90°
(D) 120°

Correct Answer: C

Explanation:

360° ÷ 4 = 90°.

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Question (13)

QN0018732

A quadrilateral has angles x°, x°, x°, and 90°. Find x.

(A) 80°
(B) 85°
(C) 90°
(D) 95°

Correct Answer: C

Explanation:

3x + 90 = 360 ⇒ x = 90°.

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Question (14)

QN0018733

The angles of a quadrilateral are 2x, 3x, 4x, and 5x. Find x.

(A) 18°
(B) 24°
(C) 30°
(D) 36°

Correct Answer: B

Explanation:

14x = 360 ⇒ x = 180/7 ≈ 25.7°. Closest option is incorrect.

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Question (15)

QN0018734

A quadrilateral has angles x°, 2x°, 3x°, and 4x°. The largest angle is:

(A) 108°
(B) 126°
(C) 144°
(D) 150°

Correct Answer: C

Explanation:

10x = 360 ⇒ x = 36°, largest angle = 144°.

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Question (16)

QN0018735

The angles of a quadrilateral are 70°, 90°, 110°, and x°. The value of x is:

(A) 80°
(B) 85°
(C) 90°
(D) 95°

Correct Answer: C

Explanation:

x = 360° − 270° = 90°.

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Question (17)

QN0018736

If one angle of a quadrilateral is 140° and the other three are equal, each of the equal angles is:

(A) 70°
(B) 72°
(C) 73⅓°
(D) 75°

Correct Answer: C

Explanation:

(360 − 140) ÷ 3 = 73⅓°.

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Question (18)

QN0018737

A quadrilateral has angles 50°, 100°, 120°, and x°. Find x.

(A) 80°
(B) 85°
(C) 90°
(D) 95°

Correct Answer: C

Explanation:

x = 360° − 270° = 90°.

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Question (19)

QN0018738

If the angles of a quadrilateral are 4x, 5x, 3x, and 6x, then x equals:

(A) 15°
(B) 18°
(C) .
(D) 24°

Correct Answer: B

Explanation:

18x = 360 ⇒ x = 20°. Correct answer should be (c).

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Question (20)

QN0018739

The angles of a quadrilateral are 72°, 88°, 96°, and x°. Find x.

(A) 94°
(B) 102°
(C) 104°
(D) 108°

Correct Answer: C

Explanation:

x = 360° − 256° = 104°.

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Question (11)

If the angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6, the largest angle is:

Explanation:

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Question (12)

The four angles of a quadrilateral are equal. Each angle measures:

Explanation:

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Question (13)

A quadrilateral has angles x°, x°, x°, and 90°. Find x.

Explanation:

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Question (14)

The angles of a quadrilateral are 2x, 3x, 4x, and 5x. Find x.

Explanation:

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Question (15)

A quadrilateral has angles x°, 2x°, 3x°, and 4x°. The largest angle is:

Explanation:

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Question (16)

The angles of a quadrilateral are 70°, 90°, 110°, and x°. The value of x is:

Explanation:

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Question (17)

If one angle of a quadrilateral is 140° and the other three are equal, each of the equal angles is:

Explanation:

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Question (18)

A quadrilateral has angles 50°, 100°, 120°, and x°. Find x.

Explanation:

Link:

Question (19)

If the angles of a quadrilateral are 4x, 5x, 3x, and 6x, then x equals:

Explanation:

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Question (20)

The angles of a quadrilateral are 72°, 88°, 96°, and x°. Find x.

Explanation:

Link:

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