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QUESTION IMAGE

enter the value of x + 14.

Question

enter the value of x + 14.

Explanation:

Step1: Use triangle - angle sum property

The sum of interior angles of a triangle is 180°. So, \(x+(x + 14)+82=180\).

Step2: Simplify the equation

Combine like - terms: \(2x+96 = 180\).

Step3: Solve for \(x\)

Subtract 96 from both sides: \(2x=180 - 96\), \(2x = 84\). Then divide by 2, \(x = 42\).

Step4: Find \(x + 14\)

Substitute \(x = 42\) into \(x + 14\), \(x+14=42 + 14=56\).

Answer:

56