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
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
Answer
Answer:
x = 37
Explanation:
Step1: Identify angle - relationship
The angles (3x + 4)° and 115° are corresponding angles. Since the two lines are parallel, corresponding angles are equal. So, 3x+4 = 115.
Step2: Solve the equation for x
Subtract 4 from both sides: 3x=115 - 4. So, 3x = 111.
Step3: Isolate x
Divide both sides by 3: x=$\frac{111}{3}$. Thus, x = 37.