The measure of the angle ∠CQP is: 90°
The slope of line segment PR is equal to 2/5.
What is the Equation of the Line?
The general form for the equation of a line in slope intercept form is:
y = mx + c
Where:
m is slope
c is y-intercept
In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90 degrees (right angle).
Since line segment PR is tangent to circle C at point Q, we can logically deduce that the measure of the angle formed at at point Q is equal to 90 degrees (90°).
In Mathematics and Geometry, a condition that must be true for two lines to be perpendicular include the following:
m₁ × m₂ = -1
-5/2 × m₂ = -1
-5m₂ = -2
m₂ = 2/5.
Therefore, the slope, m₂ of line segment PR is equal to 2/5.