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Question (31)

QN0018750

A quadrilateral can be divided into how many triangles by drawing one diagonal?

(A) 1
(B) 2
(C) 3
(D) 4

Correct Answer: B

Explanation:

One diagonal divides a quadrilateral into two triangles.

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Question (32)

QN0018751

The angle sum property of a quadrilateral is obtained because it can be divided into:

(A) Two triangles
(B) Three triangles
(C) Four triangles
(D) Five triangles

Correct Answer: A

Explanation:

Two triangles have angle sum 180° + 180° = 360°.

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Question (33)

QN0018752

If a quadrilateral has angles 65°, 85°, 115°, and x°, then x equals:

(A) 85°
(B) 90°
(C) 95°
(D) 100°

Correct Answer: C

Explanation:

x = 360° − 265° = 95°.

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Question (34)

QN0018753

Which of the following sets of angles can form a quadrilateral?

(A) 90°, 90°, 90°, 80°
(B) 80°, 80°, 80°, 80°
(C) 100°, 90°, 80°, 90°
(D) 120°, 100°, 80°, 70°

Correct Answer: C

Explanation:

Sum = 360°.

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Question (35)

QN0018754

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

(A) 30°
(B) .
(C) 40°
(D) 45°

Correct Answer: C

Explanation:

10x = 360 ⇒ x = 36°. Correct answer should be (b).

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Question (36)

QN0018755

A quadrilateral has angles 125°, 85°, 65°, and x°. The value of x is:

(A) 75°
(B) 80°
(C) 85°
(D) 90°

Correct Answer: C

Explanation:

x = 360° − 275° = 85°.

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Question (37)

QN0018756

If all four angles of a quadrilateral are acute angles, then the statement is:

(A) Always true
(B) Sometimes true
(C) Impossible
(D) Depends on side lengths

Correct Answer: C

Explanation:

Four acute angles cannot sum to 360°.

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Question (38)

QN0018757

A quadrilateral has angles 150°, 60°, 80°, 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 (39)

QN0018758

Which statement about the angles of a quadrilateral is correct?

(A) Their sum is always 180°
(B) Their sum is always 360°
(C) Opposite angles are always equal
(D) Adjacent angles are always supplementary

Correct Answer: B

Explanation:

The angle sum property states that the sum is 360°.

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Question (40)

QN0018759

A quadrilateral has angles x°, x°, x°, and 150°. Find x.

(A) 60°
(B) 70°
(C) 75°
(D) 80°

Correct Answer: B

Explanation:

3x + 150 = 360 ⇒ x = 70°.

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Question (31)

A quadrilateral can be divided into how many triangles by drawing one diagonal?

Explanation:

Link:

Question (32)

The angle sum property of a quadrilateral is obtained because it can be divided into:

Explanation:

Link:

Question (33)

If a quadrilateral has angles 65°, 85°, 115°, and x°, then x equals:

Explanation:

Link:

Question (34)

Which of the following sets of angles can form a quadrilateral?

Explanation:

Link:

Question (35)

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

Explanation:

Link:

Question (36)

A quadrilateral has angles 125°, 85°, 65°, and x°. The value of x is:

Explanation:

Link:

Question (37)

If all four angles of a quadrilateral are acute angles, then the statement is:

Explanation:

Link:

Question (38)

A quadrilateral has angles 150°, 60°, 80°, and x°. Find x.

Explanation:

Link:

Question (39)

Which statement about the angles of a quadrilateral is correct?

Explanation:

Link:

Question (40)

A quadrilateral has angles x°, x°, x°, and 150°. Find x.

Explanation:

Link:

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