EWT | Academic Question

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Question (31)
QN0030183
The vertex angle of an isosceles triangle is 84°. What is each base angle?
  • (A) 42°
  • (B) 48°
  • (C) 52°
  • (D) 58°

Correct Answer: B
Explanation:

Each base angle = (180° − 84°) ÷ 2 = 48°.

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Question (32)
QN0030184
The angles of an isosceles triangle are in the ratio 4 : 4 : 7. What is the measure of each equal angle?
  • (A) 40°
  • (B) 45°
  • (C) 48°
  • (D) 56°

Correct Answer: C
Explanation:

Total parts = 15. One part = 12°. Each equal angle = 4 × 12° = 48°.

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Question (33)
QN0030185
If all three sides of a triangle are equal, then each interior angle is:
  • (A) 45°
  • (B) 50°
  • (C) 60°
  • (D) 90°

Correct Answer: C
Explanation:

An equilateral triangle has three equal angles of 60° each.

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Question (34)
QN0030186
The vertex angle of an isosceles triangle is 30°. Each base angle is:
  • (A) 60°
  • (B) 70°
  • (C) 75°
  • (D) 80°

Correct Answer: C
Explanation:

(180° − 30°) ÷ 2 = 75°.

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Question (35)
QN0030187
Which statement is always true for an isosceles triangle?
  • (A) All three angles are equal.
  • (B) The base angles are equal.
  • (C) One angle is always 90°.
  • (D) All sides are unequal.

Correct Answer: B
Explanation:

The angles opposite the equal sides are always equal.

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Question (36)
QN0030188
The angles of an isosceles triangle are in the ratio 7 : 7 : 4. What is the vertex angle?
  • (A) 40°
  • (B) 50°
  • (C) 60°
  • (D) 70°

Correct Answer: A
Explanation:

Total parts = 18. One part = 10°. Vertex angle = 4 × 10° = 40°.

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Question (37)
QN0030189
An equilateral triangle has three equal angles. Their sum is:
  • (A) 90°
  • (B) 120°
  • (C) 180°
  • (D) 360°

Correct Answer: C
Explanation:

The sum of the interior angles of every triangle is 180°.

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Question (38)
QN0030190
In an isosceles triangle, each base angle is 41°. What is the vertex angle?
  • (A) 82°
  • (B) 88°
  • (C) 94°
  • (D) 98°

Correct Answer: D
Explanation:

180° − 41° − 41° = 98°.

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Question (39)
QN0030191
The angles of an isosceles triangle are in the ratio 6 : 6 : 3. What is the measure of the vertex angle?
  • (A) 30°
  • (B) 36°
  • (C) 48°
  • (D) 60°

Correct Answer: B
Explanation:

Total parts = 15. One part = 12°. Vertex angle = 3 × 12° = 36°.

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Question (40)
QN0030192
A triangle has all three angles equal to 60°. Which statement is correct?
  • (A) It is an isosceles triangle only.
  • (B) It is a scalene triangle.
  • (C) It is an equilateral triangle.
  • (D) It is a right triangle.

Correct Answer: C
Explanation:

A triangle with three equal angles of 60° is an equilateral triangle.

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