Question

5 the figure shows two lines cut by a transversal. which value of x shows that the lines are parallel? a x = 30 b x = 50 c x = 70 d x = 75

Explanation:

Step1: Use the property of alternate - interior angles

When two lines are parallel and cut by a transversal, alternate - interior angles are equal. So, \(x = 2x+30\) is incorrect. Wait, no, actually, if we consider the property of corresponding angles (assuming the figure is such that \(x\) and \(2x + 30\) are same - side exterior and interior angles which are supplementary when lines are parallel). The correct property is that when two lines are parallel and cut by a transversal, \(x+(2x + 30)=180\) (same - side interior angles are supplementary).

Step2: Solve the equation

$$
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$$

Answer:

B. \(x = 50\)