Question

1. find the value of x for which l || m. (3x - 33)° (2x + 26)° m l 54 144 134 59

Explanation:

Step1: Set up the equation

When two lines are parallel, corresponding - angles are equal. Here, the two given angles $(3x - 33)^{\circ}$ and $(2x + 26)^{\circ}$ are corresponding - angles. So we set up the equation $3x-33 = 2x + 26$.

Step2: Solve for x

Subtract $2x$ from both sides of the equation: $3x-2x-33=2x - 2x+26$, which simplifies to $x-33 = 26$. Then add 33 to both sides: $x=26 + 33$.
$x=59$

Answer:

59