parallel lines e and f are cut by transversal b. what is the value of x? (2x + 10)° (3x - 15)° 1 5 25 37

parallel lines e and f are cut by transversal b. what is the value of x? (2x + 10)° (3x - 15)° 1 5 25 37

parallel lines e and f are cut by transversal b. what is the value of x? (2x + 10)° (3x - 15)° 1 5 25 37

Answer

Explanation:

Step1: Use corresponding - angles property

When parallel lines are cut by a transversal, corresponding angles are equal. So, $2x + 10=3x - 15$.

Step2: Solve the equation for x

Subtract $2x$ from both sides: $2x+10 - 2x=3x - 15-2x$, which simplifies to $10=x - 15$.

Step3: Isolate x

Add 15 to both sides: $10 + 15=x-15 + 15$, so $x = 25$.

Answer:

25