Question

1. fill in the blanks using the available answer choices.escalators an escalator at a shopping mall runs up several levels. the escalator railing can be modeled by a straight line running past horizontal lines that represent the floors. describe the relation - ships of these lines.the lines representing floors a, b, and c are

(blank 1)
, and the escalator railing is a
(blank 2)
intersecting each of the three lines.blank 1 options• perpendicular• parallel
blank 2 options• perpendicular• transversal

1. carpentry a carpenter is building a podium. the side panel of the podium is cut from a rectangu - lar piece of wood. the rectangle must be sawed along the dashed line in the figure.what is the measure of ∠1?

Explanation:

Step1: Determine the relationship between floor lines

Floor lines A, B, and C are parallel as they are all horizontal and do not intersect.

Step2: Determine the relationship of the escalator railing

The escalator railing is a transversal as it intersects the three parallel floor lines.

Step3: Find the measure of ∠1

In a rectangle, opposite sides are parallel. The dashed line is a transversal. ∠1 and the \(116^{\circ}\) angle are supplementary (consecutive interior angles). So \(\angle1 = 180^{\circ}- 116^{\circ}=64^{\circ}\)

Answer:

Blank 1: parallel; Blank 2: transversal; Measure of \(\angle1\): \(64\)