Answer:
136 Degrees
Step-by-step explanation
Set up as (3x+11) + (5x-9) = 90
then solve for x using algebra.
you can do this because angle NSO and RSQ are eqaul once you know x you will be able to solve all the other angles and subtract from 360 (the total angle) to find NSR.
Steps:
3x+11+5x-9 = 90
8x+2=90
<u>x= 11</u>
Solve 3(11)+11 = 44
add known angles:
44+90+90 = 224
360-224 = 136 degrees
We use concepts like <u>complimentary angles</u> and<u> vertical angle theroem</u>.
To determine the equation that would be perpendicular with a certain line, we must first know the characteristics of a perpendicular line. This line would have a 90 degrees angle with another line so that the slope of this line would be the negative reciprocal of the slope of the other line. To write the equation, given a certain point we use the point-slope form of a line, y -y1 = m(x - x1).
Original line: <span>-x + 5y= 14
y = x/5 + 14/5
slope = 1/5
Perpendicular line's slope = -5
y - y1 = m (x - x1)
</span> y - (-2) = -5 (x - (-5))
y = -5x - 25 -2
y = -5x -27
x/2 as a verbal expression is half of 2.