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Question (21)

QN0018740

A quadrilateral has angles 110°, 95°, x°, and x°. Find x.

(A) 72.5°
(B) 75°
(C) 77.5°
(D) 80°

Correct Answer: C

Explanation:

205 + 2x = 360 ⇒ x = 77.5°.

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Question (22)

QN0018741

If one angle of a quadrilateral is twice another, and the four angles are 60°, 120°, 80°, and x°, then x is:

(A) 90°
(B) 95°
(C) 100°
(D) 105°

Correct Answer: C

Explanation:

x = 360° − 260° = 100°.

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Question (23)

QN0018742

A quadrilateral has angles 45°, 135°, 90°, 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 (24)

QN0018743

The angles of a quadrilateral are in the ratio 5 : 4 : 3 : 6. The smallest angle is:

(A) 54°
(B) .
(C) 72°
(D) 90°

Correct Answer: A

Explanation:

Total parts = 18, one part = 20°, smallest = 60°. Correct answer should be (b).

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Question (25)

QN0018744

A quadrilateral has angles 98°, 82°, 110°, and x°. Find x.

(A) 60°
(B) 65°
(C) 70°
(D) 75°

Correct Answer: C

Explanation:

x = 360° − 290° = 70°.

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Question (26)

QN0018745

If the four angles of a quadrilateral are consecutive multiples of 10°, their measures can be:

(A) 60°, 70°, 80°, 90°
(B) 70°, 80°, 90°, 100°
(C) 80°, 90°, 100°, 110°
(D) 50°, 60°, 70°, 80°

Correct Answer: B

Explanation:

Their sum is 340°, not 360°. Question needs correction.

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Question (27)

QN0018746

The angles of a quadrilateral are 85°, 105°, 95°, and x°. Find x.

(A) 70°
(B) 75°
(C) 80°
(D) 85°

Correct Answer: B

Explanation:

x = 360° − 285° = 75°.

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Question (28)

QN0018747

If three angles of a quadrilateral are equal and the fourth is 150°, each equal angle measures:

(A) 60°
(B) 70°
(C) 75°
(D) 80°

Correct Answer: B

Explanation:

(360 − 150) ÷ 3 = 70°.

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Question (29)

QN0018748

The angles of a quadrilateral are x°, x°, 2x°, and 3x°. The largest angle is:

(A) 120°
(B) 135°
(C) 150°
(D) 180°

Correct Answer: C

Explanation:

7x = 360 ⇒ x = 360/7, largest = 154.3°.

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Question (30)

QN0018749

A quadrilateral has angles 92°, 88°, 104°, and x°. Find x.

(A) 72°
(B) 74°
(C) 76°
(D) 78°

Correct Answer: C

Explanation:

x = 360° − 284° = 76°.

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Question (21)

A quadrilateral has angles 110°, 95°, x°, and x°. Find x.

Explanation:

Link:

Question (22)

If one angle of a quadrilateral is twice another, and the four angles are 60°, 120°, 80°, and x°, then x is:

Explanation:

Link:

Question (23)

A quadrilateral has angles 45°, 135°, 90°, and x°. The value of x is:

Explanation:

Link:

Question (24)

The angles of a quadrilateral are in the ratio 5 : 4 : 3 : 6. The smallest angle is:

Explanation:

Link:

Question (25)

A quadrilateral has angles 98°, 82°, 110°, and x°. Find x.

Explanation:

Link:

Question (26)

If the four angles of a quadrilateral are consecutive multiples of 10°, their measures can be:

Explanation:

Link:

Question (27)

The angles of a quadrilateral are 85°, 105°, 95°, and x°. Find x.

Explanation:

Link:

Question (28)

If three angles of a quadrilateral are equal and the fourth is 150°, each equal angle measures:

Explanation:

Link:

Question (29)

The angles of a quadrilateral are x°, x°, 2x°, and 3x°. The largest angle is:

Explanation:

Link:

Question (30)

A quadrilateral has angles 92°, 88°, 104°, and x°. Find x.

Explanation:

Link:

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