Question

42° 93° x° o x = 122 o x = 125 o x = 135 o x = 138

Explanation:

Step1: Recall triangle - angle sum property

The sum of interior angles of a triangle is 180°. Let the third - interior angle of the triangle be \(y\). So, \(y+42^{\circ}+93^{\circ}=180^{\circ}\).

Step2: Solve for \(y\)

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Step3: Use the linear - pair property

The angle \(x\) and \(y\) form a linear pair. Since the sum of angles in a linear pair is 180°, \(x + y=180^{\circ}\). Substitute \(y = 45^{\circ}\) into the equation: \(x=180^{\circ}-45^{\circ}=135^{\circ}\).

Answer:

C. \(x = 135\)