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QUESTION IMAGE

find the value of x.

Question

find the value of x.

Explanation:

Step1: Find the adjacent interior angle

The angle adjacent to \(124^\circ\) on a straight line is \(180^\circ - 124^\circ = 56^\circ\).

Step2: Use triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So \(x + 55^\circ + 56^\circ = 180^\circ\).

Step3: Solve for \(x\)

\(x = 180^\circ - 55^\circ - 56^\circ = 69^\circ\).

Answer:

\(69\)