Bluebook SAT Test Lines, Angles, and Triangles 3 — Questions and Answers
Question 1: A transversal intersects two parallel lines. The co-interior angles are (3x + 10)° and (2x + 30)°. What is x?
- 14
- 20
- 28 (Correct answer)
- 30
Correct answer: 28
(3x+10)+(2x+30)=180 → 5x+40=180 → x=28.
Question 2: The angles of a triangle are in the ratio 2:3:7. What is the measure of the largest angle?
- 30°
- 60°
- 90°
- 105° (Correct answer)
Correct answer: 105°
2k+3k+7k=180° → k=15°; largest = 7×15° = 105°.
Question 3: An exterior angle of a triangle is 140°. One remote interior angle is 80°. What is the other?
- 40°
- 50°
- 60° (Correct answer)
- 80°
Correct answer: 60°
80° + x = 140° → x = 60°.
Question 4: Two lines intersect. Vertical angles are (5x − 10)° and (3x + 30)°. What is x?
- 10
- 15
- 20 (Correct answer)
- 25
Correct answer: 20
5x − 10 = 3x + 30 → 2x = 40 → x = 20.
Question 5: An isosceles triangle has base angles of 65° each. What is the vertex angle?
- 50° (Correct answer)
- 55°
- 60°
- 65°
Correct answer: 50°
Vertex angle = 180° − 65° − 65° = 50°.
Question 6: Parallel lines p and q are cut by a transversal. Alternate interior angles are (4y − 5)° and (2y + 35)°. What is y?
- 10
- 15
- 20 (Correct answer)
- 25
Correct answer: 20
4y − 5 = 2y + 35 → 2y = 40 → y = 20.
Question 7: Triangle ABC has AB = 5, BC = 5, AC = 8. Which best describes the triangle?
- Equilateral
- Scalene
- Isosceles (Correct answer)
- Right
Correct answer: Isosceles
Two sides are equal (AB = BC = 5), so the triangle is isosceles.
Bluebook SAT Test Lines, Angles, and Triangles 3
A transversal intersects two parallel lines.
The co-interior angles are (3x + 10)° and (2x + 30)°.
What is x?