If lines l and m are parallel, find the value of x.

hint Hint:

Use the property of parallel lines angle rules.

The correct answer is: Hence the value of x=32°

Complete step by step solution:
Here we have 2 parallel lines m and land a transversal intersecting these parallel
lines.
Here, $left parenthesis 5 x minus 15 right parenthesis to the power of ring operator text and end text 35 to the power of ring operator$ forms co-interior angles and they add up to $180 to the power of ring operator$
$left parenthesis 5 x minus 15 right parenthesis to the power of ring operator plus 35 to the power of ring operator equals 180 to the power of ring operator$ (co-interior angles)
$not stretchy rightwards double arrow 5 x plus 20 to the power of ring operator equals 180 to the power of ring operator$
$not stretchy rightwards double arrow 5 x equals 180 to the power of ring operator minus 20 to the power of ring operator$
$not stretchy rightwards double arrow 5 x equals 160 to the power of ring operator$
$not stretchy rightwards double arrow x equals 32 to the power of ring operator$
Hence the value of $x equals 32 to the power of ring operator$

Use Substitution to solve each system of equations :
Y = 2X - 7
9X + Y = 15

Finding the answer to the given linear equation is the act of solving a linear equation. One of the algebraic techniques for solving a system of two-variable linear equations is the substitution approach. As the name suggests, the replacement method involves substituting a variable's value into a second equation. As a result, two linear equations are combined into one linear equation with just one variable, making it simple to solve. As an illustration, let us swap the value of the x-variable from the second equation and the y-variable from the first equation. By solving the problem, we can determine the value of the y-variable. Last but not least, we can solve any of the preceding equations by substituting the value of y. This procedure can easily be switched around so that we first solve for x before moving on to solve for y.