two parallel lines are crossed by a transversal. what is the value of x? o x = 21 o x = 28 o x = 35 o x = 37…

Explanation:

Step1: Identify angle - relationship

When two parallel lines are crossed by a transversal, corresponding angles are equal. The angle with measure $(3x + 4)^{\circ}$ and the angle with measure $115^{\circ}$ are corresponding angles. So, $3x+4 = 115$.

Step2: Solve the equation for x

Subtract 4 from both sides of the equation: $3x=115 - 4$. So, $3x=111$.

Step3: Isolate x

Divide both sides of the equation $3x = 111$ by 3. We get $x=\frac{111}{3}=37$.

Answer:

$x = 37$