First, we should find the third angle in that triangle. Since the angles form a straight line, we know they are supplementary (adding up to 180°). Let's set it up like this:
9x + R = 180 R = 180 - 9x
Now we have the value of angle R, the third angle in the triangle. Since all angles in a triangle add up to 180°, we can set it up like this: R + S + T = 180 180 - 9x + 9 + x + 5x = 180 189 - 3x = 180 -3x = -9 x = 3
Using the slope-intercept form, the slope is −35 . The equation of a perpendicular line to y=−3x5+3 y = - 3 x 5 + 3 must have a slope that is the negative reciprocal of the original slope.