parallel lines e and f are cut by transversal b. what is the value of x? 1 5 25 37 (2x + 10)° (3x - 15)°
parallel lines e and f are cut by transversal b. what is the value of x? 1 5 25 37 (2x + 10)° (3x - 15)°
Answer
Explanation:
Step1: Use the property of alternate interior angles
Since lines (e) and (f) are parallel and cut by transversal (b), the angles ((2x + 10)^{\circ}) and ((3x-15)^{\circ}) 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 gives (10=x - 15). Then add (15) to both sides: (10 + 15=x-15 + 15), so (x=25).
Answer:
(25) (the third option)