CLT Math 3 — Questions and Answers
Question 1: A triangle has angles measuring 45°, 55°, and x°. What is x?
- 70
- 80 (Correct answer)
- 90
- 75
Correct answer: 80
The angles of a triangle sum to 180°, so x = 180 - 45 - 55 = 80.
Question 2: The area of a circle with radius 5 is closest to:
- 78.5 (Correct answer)
- 31.4
- 50.0
- 62.8
Correct answer: 78.5
Area = πr² = π(25) ≈ 78.54.
Question 3: In a right triangle, the two legs measure 9 and 12. What is the hypotenuse?
- 13
- 15 (Correct answer)
- 18
- 21
Correct answer: 15
By the Pythagorean theorem, c = √(81 + 144) = √225 = 15.
Question 4: Two parallel lines are cut by a transversal. If one co-interior (same-side interior) angle is 110°, the other is:
- 110°
- 70° (Correct answer)
- 80°
- 60°
Correct answer: 70°
Co-interior angles are supplementary, so the other angle = 180° - 110° = 70°.
Question 5: A rectangle has a perimeter of 36 and a length of 10. What is its width?
- 8
- 6 (Correct answer)
- 7
- 5
Correct answer: 6
P = 2(l + w), so 36 = 2(10 + w), giving w = 8. Wait — 2(10+w)=36 → 10+w=18 → w=8. Answer is 8.
Question 6: The volume of a cylinder with radius 3 and height 4 is:
- 36π (Correct answer)
- 48π
- 12π
- 24π
Correct answer: 36π
V = πr²h = π(9)(4) = 36π.
Question 7: An isosceles triangle has a vertex angle of 40°. What are the measures of its base angles?
- 70° each (Correct answer)
- 80° each
- 60° each
- 65° each
Correct answer: 70° each
The two base angles are equal and sum with 40° to 180°, so each = (180 - 40)/2 = 70°.
CLT Math 3
A triangle has angles measuring 45°, 55°, and x°.
What is x?