Answer:
The value of is 10º.
Step-by-step explanation:
From Euclidean Geometry we remember that the sum of internal angles within a triangle equals to 180º. We present the resulting triangle after applying some geometric handling in the image attached below. Then, the triangle satisfies the following equation:
(1)
The value of is 10º.
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:
The given line is:
So we have:
We find
So, a line perpendicular to the one given is of the form:
We substitute the given point to find "b":
Finally we have:
In point-slope form we have:
ANswer: