Find the value of k. Then angle measures of 45 and 2k Sum of angle measures 180
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Answer:
The two lines are neither perpendicular nor parallel to each other.
Step-by-step explanation:
Comparing the slopes of two lines is a great way for telling whether they are perpendicular or parallel to each other.
To find the slope of the lines, start by rewriting their equations in the slope-intercept form:
,
where
is the slope of the line, and
is the y-intercept (the y-value of the point where the line crosses the y-axis.)
The first line is already in this form. Its slope (the number in front of ) is equal to
.
Subtract from both sides of the equation of the second line:
.
Divide both sides by four:
.
The slope of this line will be equal to .
Two lines are parallel if their slopes are the same. They are perpendicular to each other if the product of their slope is equal to (i.e. the two slopes are inverse reciprocal of one another.) Neither is the case for these two lines. In conclusion, these two lines are neither parallel nor perpendicular to each other.