EWT | Academic Question

Questions
Question (1)
QN0030153
Which of the following best defines an isosceles triangle?
  • (A) A triangle with all sides equal
  • (B) A triangle with exactly one right angle
  • (C) A triangle with two equal sides
  • (D) A triangle with no equal sides

Correct Answer: C
Explanation:

An isosceles triangle has two equal sides.

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Question (2)
QN0030154
In an isosceles triangle, the angles opposite the equal sides are called:
  • (A) Exterior angles
  • (B) Base angles
  • (C) Reflex angles
  • (D) Vertical angles

Correct Answer: B
Explanation:

The angles opposite the equal sides are the base angles.

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Question (3)
QN0030155
Which statement is true for every equilateral triangle?
  • (A) It has exactly two equal sides.
  • (B) It has three equal sides and three equal angles.
  • (C) It has one right angle.
  • (D) It has two equal angles only.

Correct Answer: B
Explanation:

All sides and all angles are equal in an equilateral triangle.

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Question (4)
QN0030156
In an isosceles triangle, one base angle measures 68°. The other base angle is:
  • (A) 56°
  • (B) 68°
  • (C) 44°
  • (D) 112°

Correct Answer: B
Explanation:

Base angles of an isosceles triangle are equal.

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Question (5)
QN0030157
In an isosceles triangle, each base angle is 50°. What is the vertex angle?
  • (A) 50°
  • (B) 60°
  • (C) 70°
  • (D) 80°

Correct Answer: D
Explanation:

Vertex angle = 180° − 50° − 50° = 80°.

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Question (6)
QN0030158
Each angle of an equilateral triangle measures:
  • (A) 30°
  • (B) 45°
  • (C) 60°
  • (D) 90°

Correct Answer: C
Explanation:

The three equal angles together sum to 180°.

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Question (7)
QN0030159
In an isosceles triangle, the vertex angle is 40°. Each base angle is:
  • (A) 40°
  • (B) 50°
  • (C) 60°
  • (D) 70°

Correct Answer: D
Explanation:

(180° − 40°) ÷ 2 = 70°.

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Question (8)
QN0030160
If two angles of a triangle are equal, then the triangle is:
  • (A) Scalene
  • (B) Right-angled
  • (C) Isosceles
  • (D) Equilateral

Correct Answer: C
Explanation:

Equal angles imply the opposite sides are equal.

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Question (9)
QN0030161
An equilateral triangle has one angle equal to:
  • (A) 45°
  • (B) 50°
  • (C) 60°
  • (D) 75°

Correct Answer: C
Explanation:

Each angle of an equilateral triangle measures 60°.

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Question (10)
QN0030162
In an isosceles triangle, the vertex angle is 96°. Each base angle is:
  • (A) 42°
  • (B) 48°
  • (C) 52°
  • (D) 84°

Correct Answer: A
Explanation:

(180° − 96°) ÷ 2 = 42°.

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