Question

find the value of the variable. the value of p is \\(\square\\). (simplify your answer. do not include the degree symbol in your answer.)

Explanation:

Answer:

27

To find the value of \( p \), we note that the angle \( (4p - 18)^\circ \) is a right angle (since the lines are perpendicular, indicated by the right angle symbol). A right angle measures \( 90^\circ \). So we set up the equation:

\[
4p - 18 = 90
\]

Adding 18 to both sides:

\[
4p = 90 + 18 \\
4p = 108
\]

Dividing both sides by 4:

\[
p = \frac{108}{4} \\
p = 27
\]