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

Because \(DE \parallel BC\), corresponding angles are equal. To find \(x\), we can use similar triangles or linear equations. Solving the equations gives us: \[ x = -1, \quad \frac{1}{2} \] The answer is \(-1, \frac{1}{2}\).