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QUESTION IMAGE

determine the value of x.

Question

determine the value of x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°.

Step2: Calculate the third - angle of the triangle

Let the third - angle of the triangle be \(y\). Then \(y=180-(125 + 20)=180 - 145=35\).

Step3: Determine the value of \(x\)

Since \(x\) and \(y\) are the same angle (vertically opposite angles are equal), \(x = 35\).

Answer:

35