Question

value of x.
104° 119°
76° x°
x =

Explanation:

Step1: Recall 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 have \(104^{\circ}+119^{\circ}+76^{\circ}+x^{\circ}=360^{\circ}\).

Step3: Simplify the left - hand side

\(104 + 119+76+x=360\). First, calculate \(104 + 119+76=(104 + 76)+119=180+119 = 299\). So the equation becomes \(299+x=360\).

Step4: Solve for \(x\)

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

Answer:

\(x = 61\)