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QUESTION IMAGE

what is the value of x? x = □

Question

what is the value of x? x = □

Explanation:

Step1: Recall triangle - angle sum property

The sum of interior angles of a triangle is 180°.
So, \(x + x+80^{\circ}=180^{\circ}\).

Step2: Combine like - terms

\(2x+80^{\circ}=180^{\circ}\).

Step3: Isolate the variable

Subtract 80° from both sides: \(2x=180^{\circ}- 80^{\circ}\), so \(2x = 100^{\circ}\).

Step4: Solve for x

Divide both sides by 2: \(x=\frac{100^{\circ}}{2}=50^{\circ}\).

Answer:

\(50^{\circ}\)