Question

value of x.

Explanation:

Step1: Recall the formula for the sum of interior angles of a quadrilateral

The sum of interior angles of a quadrilateral is \((4 - 2)\times180^{\circ}=360^{\circ}\).

Step2: Set up the equation

We know that \(104^{\circ}+119^{\circ}+76^{\circ}+x^{\circ}=360^{\circ}\).
First, calculate \(104 + 119+76\):
\(104+119 + 76=(104 + 76)+119=180+119 = 299\).
Then the equation becomes \(299+x=360\).

Step3: Solve for \(x\)

Subtract 299 from both sides of the equation: \(x=360 - 299\).

Answer:

\(x = 61\)