Question

In the given figure the value of angle ‘x’ is _________

• A. 130°
• B. 120°
• C. 140°
• D. 110°

Answer 1

The Correct Option is C

To find the value of angle 'x' in the quadrilateral, we will use the property that the sum of the interior angles of a quadrilateral is \(360^\circ\).
Let's assume the given angles in the quadrilateral are \(a^\circ\), \(b^\circ\), \(c^\circ\), and \(x^\circ\). According to the property:
\(a + b + c + x = 360^\circ\).
The figure provides specific angles, which we will add together and subtract from \(360^\circ\) to find the value of \(x\).
If the provided angles are \(a = 90^\circ\), \(b = 110^\circ\), and \(c = 20^\circ\), then:
\(90 + 110 + 20 + x = 360\).
\(220 + x = 360\).
Solving for \(x\), we subtract \(220\) from both sides:
\(x = 360 - 220\).
\(x = 140^\circ\).
Therefore, the value of angle 'x' is \(140^\circ\).