Question

1. a line that passes through parallel lines is called a _______.

a) transversal b) vertical lines
c) a passer through line d) perpendicular line
15.
image of two parallel lines a and b cut by a transversal, with angles (8x - 17)° and (5x + 19)°
what is the correct equation to find the value of x?
a) x= -12 b) 8x - 17 = 5x +19
c) 8x - 17 + 5x +19 = 180 d) x=12

1. what are supplementary angles?

a) angles that add up to 180° b) angles that add up to 90°
c) angles that are equal to each other d) angles that are opposite of each other when lines intersect
17.
image of two parallel lines cut by a transversal, with angles 1 and 2
name the angle relationship.
a) alternate exterior b) alternate interior
c) vertical angles d) corresponding

1. 14)

image of two parallel lines cut by a transversal, with angles 13x + 2 and 12x + 8
a) 60° b) 80°
c) 85° d) 70°

Explanation:

Question 14

A line that intersects two or more parallel lines is defined as a transversal. Vertical lines are perpendicular to horizontal lines, a "passer through line" is not a standard term, and a perpendicular line intersects at 90 degrees, not necessarily through parallel lines.

Step1: Identify Angle Relationship

Lines \(a\) and \(b\) are parallel, and the angles \((8x - 17)^\circ\) and \((5x + 19)^\circ\) are alternate interior angles (or corresponding in a way that they are equal when lines are parallel). So they should be equal.

Step2: Form Equation

Set the two angle expressions equal: \(8x - 17 = 5x + 19\). Option a and d are solutions, not equations. Option c would be for supplementary angles, but these angles are equal, not supplementary.

Supplementary angles are defined as two angles whose sum is \(180^\circ\). Angles summing to \(90^\circ\) are complementary, equal angles are congruent, and opposite angles at intersections are vertical angles.

Answer:

a) transversal

Question 15