What is the missing step in the given proof? a.  ∠pqc  and  ∠acp  are supplementary by the linear pair theorem. b.  for parallel lines cut by a transversal, corresponding angles are congruent, so ∠acb  ≅  ∠pcq. c.  ∠ocp  ≅  ∠bcd  by the vertical angles theorem. d.  for parallel lines cut by a transversal, corresponding angles are congruent, so ∠ocp ≅  ∠abc. e.  for parallel lines cut by a transversal, corresponding angles are congruent, so ∠oca  ≅  ∠cbd.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

Meg constructed triangle poq and then used a compass and straightedge to accurately construct line segment os, as shown in the figure below, which could be the measures of angles pos and angle poq?

What is the value of x? enter your answer in the box. x =