Lines, Angles, and Triangles Flashcards
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Read the first 7 Lines, Angles, and Triangles flashcards as text
A transversal intersects two parallel lines. The co-interior angles are (3x + 10)° and (2x + 30)°. What is x?
Answer: 28
(3x+10)+(2x+30)=180 → 5x+40=180 → x=28.
The angles of a triangle are in the ratio 2:3:7. What is the measure of the largest angle?
Answer: 105°
2k+3k+7k=180° → k=15°; largest = 7×15° = 105°.
An exterior angle of a triangle is 140°. One remote interior angle is 80°. What is the other?
Answer: 60°
80° + x = 140° → x = 60°.
Two lines intersect. Vertical angles are (5x − 10)° and (3x + 30)°. What is x?
Answer: 20
5x − 10 = 3x + 30 → 2x = 40 → x = 20.
An isosceles triangle has base angles of 65° each. What is the vertex angle?
Answer: 50°
Vertex angle = 180° − 65° − 65° = 50°.
Parallel lines p and q are cut by a transversal. Alternate interior angles are (4y − 5)° and (2y + 35)°. What is y?
Answer: 20
4y − 5 = 2y + 35 → 2y = 40 → y = 20.
Triangle ABC has AB = 5, BC = 5, AC = 8. Which best describes the triangle?
Answer: Isosceles
Two sides are equal (AB = BC = 5), so the triangle is isosceles.
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