Question

find the value of x.
105°
79°
x°
44°
x=

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral

The sum of interior angles of a quadrilateral is \(360^{\circ}\).

Step2: Set up the equation

We have \(79^{\circ}+105^{\circ}+44^{\circ}+x^{\circ}=360^{\circ}\).

Step3: Simplify the left - hand side

\(79 + 105+44+x=360\), \(228+x = 360\).

Step4: Solve for \(x\)

Subtract \(228\) from both sides: \(x=360 - 228\).

Answer:

\(x = 132\)