SOLUTION: lines p and q intersect to form adjacent angles 1 and 2. if measurement of angle 1 = 3x+18 and mearsurement of angle 2 = -8y-70, find the values of x and y so that p is perpendicul

Algebra ->  Angles -> SOLUTION: lines p and q intersect to form adjacent angles 1 and 2. if measurement of angle 1 = 3x+18 and mearsurement of angle 2 = -8y-70, find the values of x and y so that p is perpendicul      Log On


   

Question 155134This question is from textbook california geometry
: lines p and q intersect to form adjacent angles 1 and 2. if measurement of angle 1 = 3x+18 and mearsurement of angle 2 = -8y-70, find the values of x and y so that p is perpendicular to q. This question is from textbook california geometry

Answer by orca(409) About Me  (Show Source):
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If line p and q are perpendicular to each other, all angles must be equal to 90°.
So
3x + 18 = 90 .................(1)
-8y - 70 = 90 ................(2)
Solving equation (1) for x, we have
3x = 72
x = 24
Solving equation (2) for y, we have
-8y = 160
y = -20