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calculate the missing measurement. ∠x = ?°

Question

calculate the missing measurement.
∠x = ?°

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(\angle X+\angle Y+\angle Z = 180^{\circ}\).

Step2: Substitute the known values

We know \(\angle Y = 65^{\circ}\) and \(\angle Z=50^{\circ}\). Then \(\angle X=180^{\circ}-\angle Y - \angle Z\).

Step3: Calculate \(\angle X\)

\(\angle X=180^{\circ}-65^{\circ}-50^{\circ}=65^{\circ}\)

Answer:

\(65\)