If a line through the origin has a slope of 2, what is the slope of the line through the origin that is perpendicular to
it?

Step-by-step explanation:

We have the slope value of the first line, we will call this

so  

And we use the condition so that two lines are perpendicular: the product of the two slopes must be equal to -1.

That is, if the slope of the first line is and the slope of the second line is :

we know that , so:

and clearing for :

the slope of the line perpendicular to the line with a slope of 2 is:

65°

step-by-step explanation:

the total measure of a triangle is 180 degrees. 62 + 53 is 115.

180 - 115 = 65

ok

step-by-step explanation: