When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? check the angles used in the construction with a straightedge to ensure consistency. check the distance along the lines at several places with a compass to ensure they are the same length. check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. check the distance between the lines at several places with a compass to ensure they are equidistant.

Use the corner of a piece of paper to ensure the lines create 90° angle.

Step-by-step explanation:

When constructing a perpendicular line through a point of a line, we have to verify that the lines constructed are perpendicular.  

When we are going to draw a perpendicular line on another line at a point with help of a compass or using a protector, there may be some error in drawing and some error there can be in the perpendicular line.

So, the simple way to check whether the angles drawn are perfectly 90° or not is to use the corner of a piece of paper to ensure the lines create a 90° angle. (Answer)

what statement? is there an image?

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value