Question

x =

x =
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Explanation:

Step1: Set up angle - sum equation

The sum of the angles around a point is 360°. So, we have the equation \(79^{\circ}+141^{\circ}+\frac{x}{2}=360^{\circ}\).

Step2: Simplify the left - hand side

First, add 79 and 141: \(79 + 141=220\). The equation becomes \(220+\frac{x}{2}=360\).

Step3: Isolate the variable term

Subtract 220 from both sides of the equation: \(\frac{x}{2}=360 - 220\). So, \(\frac{x}{2}=140\).

Step4: Solve for x

Multiply both sides of the equation by 2 to get \(x = 280\).

Answer:

280