Question

find the value of x.
(there is a quadrilateral with angles 50°, 109°, 101°, and x°)

Explanation:

Step1: Recall quadrilateral angle sum

A quadrilateral's interior angles sum to \(360^\circ\).

Step2: Sum known angles

Add the given angles: \(50 + 109 + 101 = 260\).

Step3: Solve for \(x\)

Subtract the sum from \(360\): \(x = 360 - 260 = 100\).

Answer:

\(100\)