Question

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 (3x + 4)° 115°

Explanation:

Step1: Use corresponding - angles property

Since the two lines y and z are parallel and crossed by a transversal, the angle (3x + 4)° and 115° are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. 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