Question

Lines p and q intersect to form adjacent angles 1 and 2. If angle 1=8x+4 and angle 2=9x-4 find x so that p is perpendicular to q.

Answer 1

Answer on Question#37851-Math-Geometry

Question

Lines p and q intersect to form adjacent angles 1 and 2. If angle $1=8x+4$ and angle $2=9x-4$ find x so that p is perpendicular to q.

Solution

Since p is perpendicular to q, angle 1 is equal to angle 2 and

$$\begin{array}{l} 9x - 4 = 8x + 4 \\ 9x - 8x = 4 + 4 \\ x = 8 \\ \end{array}$$

Answer: $x = 8$