Question

In the adjoining figure, \(DE \parallel BC\), then value of \(x\) are

• A. \(-1, \frac{1}{2}\)
• B. \(1, \frac{1}{2}\)
• C. \(-1, \frac{1}{2}\)
• D. \(1, -\frac{1}{2}\)

Hint:

When parallel lines are involved in geometry problems, use the property of corresponding angles and properties of similar triangles.

Answer 1

The Correct Option is A

Since \(DE \parallel BC\), the corresponding angles are equal. We can use the properties of similar triangles or use the method of solving linear equations to determine the value of \(x\). After solving the system of equations, we find that: \[ x = -1, \quad \frac{1}{2} \] Thus, the correct answer is \(-1, \frac{1}{2}\).