Question

find the value of x.
(there is a quadrilateral with angles 74°, 122°, 123°, and x°)
x = \boxed{}

Explanation:

Step1: Recall quadrilateral angle sum

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

Step2: Sum the known angles

Add the given angles: \(74^\circ + 122^\circ + 123^\circ = 74 + 122 + 123 = 319^\circ\).

Step3: Solve for \(x\)

Subtract the sum from \(360^\circ\): \(x = 360 - 319 = 41\).

Answer:

\(x = 41\)