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Question (21)

QN0030173

If one angle of an equilateral triangle is 60°, then the sum of the other two angles is:

(A) 60°
(B) 90°
(C) 120°
(D) 180°

Correct Answer: C

Explanation:

Total angle sum = 180°.

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Question (22)

QN0030174

In an isosceles triangle, one base angle is 47°. The vertex angle is:

(A) 76°
(B) 86°
(C) 94°
(D) 96°

Correct Answer: B

Explanation:

180° − 47° − 47° = 86°.

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Question (23)

QN0030175

If two sides of a triangle are equal, then the angles opposite those sides are:

(A) Complementary
(B) Supplementary
(C) Equal
(D) Right angles

Correct Answer: C

Explanation:

Equal sides subtend equal angles.

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Question (24)

QN0030176

The angles of an isosceles triangle are in the ratio 5 : 5 : 8. What is the vertex angle?

(A) 72°
(B) 80°
(C) 90°
(D) 100°

Correct Answer: B

Explanation:

Total parts = 18. One part = 10°. Vertex angle = 8 × 10° = 80°.

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Question (25)

QN0030177

Each angle of an equilateral triangle is:

(A) One-third of 180°
(B) One-half of 180°
(C) One-fourth of 180°
(D) One-sixth of 180°

Correct Answer: A

Explanation:

Each angle = 180° ÷ 3 = 60°.

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Question (26)

QN0030178

The vertex angle of an isosceles triangle is three times a base angle. What is each base angle?

(A) 30°
(B) 36°
(C) 45°
(D) 54°

Correct Answer: B

Explanation:

Let each base angle be x°. Then 3x + x + x = 180°, so x = 36°.

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Question (27)

QN0030179

Which of the following triangles has all three angles equal?

(A) Scalene triangle
(B) Right triangle
(C) Equilateral triangle
(D) Isosceles triangle

Correct Answer: C

Explanation:

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Question (28)

QN0030180

In an isosceles triangle, the vertex angle is equal to one base angle. The triangle is:

(A) Isosceles but not equilateral
(B) Scalene
(C) Equilateral
(D) Right-angled

Correct Answer: C

Explanation:

If the vertex angle equals a base angle, all three angles become equal.

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Question (29)

QN0030181

The angles of an isosceles triangle are in the ratio 1 : 1 : 2. What is each equal angle?

(A) 30°
(B) 45°
(C) 60°
(D) 90°

Correct Answer: B

Explanation:

Total parts = 4. One part = 45°. Each equal angle = 45°.

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Question (30)

QN0030182

In an isosceles triangle, each base angle is 62°. What is the measure of the vertex angle?

(A) 46°
(B) 56°
(C) 62°
(D) 76°

Correct Answer: B

Explanation:

Vertex angle = 180° − 62° − 62° = 56°.

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Question (21)

If one angle of an equilateral triangle is 60°, then the sum of the other two angles is:

Explanation:

Link:

Question (22)

In an isosceles triangle, one base angle is 47°. The vertex angle is:

Explanation:

Link:

Question (23)

If two sides of a triangle are equal, then the angles opposite those sides are:

Explanation:

Link:

Question (24)

The angles of an isosceles triangle are in the ratio 5 : 5 : 8. What is the vertex angle?

Explanation:

Link:

Question (25)

Each angle of an equilateral triangle is:

Explanation:

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Question (26)

The vertex angle of an isosceles triangle is three times a base angle. What is each base angle?

Explanation:

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Question (27)

Which of the following triangles has all three angles equal?

Explanation:

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Question (28)

In an isosceles triangle, the vertex angle is equal to one base angle. The triangle is:

Explanation:

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Question (29)

The angles of an isosceles triangle are in the ratio 1 : 1 : 2. What is each equal angle?

Explanation:

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Question (30)

In an isosceles triangle, each base angle is 62°. What is the measure of the vertex angle?

Explanation:

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